{"id":622857,"date":"2023-06-20T22:18:24","date_gmt":"2023-06-20T16:48:24","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=622857"},"modified":"2025-02-28T17:13:59","modified_gmt":"2025-02-28T11:43:59","slug":"diagonal-of-parallelogram-formula","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/formulas\/diagonal-of-parallelogram-formula\/","title":{"rendered":"Diagonal of Parallelogram Formula\u00a0"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/diagonal-of-parallelogram-formula\/#Introduction_to_Diagonal_of_Parallelogram_Formula\" title=\"Introduction to Diagonal of Parallelogram Formula\">Introduction to Diagonal of Parallelogram Formula<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/diagonal-of-parallelogram-formula\/#What_is_the_Diagonal_of_Parallelogram\" title=\"What is the Diagonal of Parallelogram?\">What is the Diagonal of Parallelogram?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/diagonal-of-parallelogram-formula\/#Diagonal_of_Parallelogram_Formula\" title=\"Diagonal of Parallelogram Formula\">Diagonal of Parallelogram Formula<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/diagonal-of-parallelogram-formula\/#Properties_of_Diagonal_of_Parallelogram\" title=\"Properties of Diagonal of Parallelogram\">Properties of Diagonal of Parallelogram<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/diagonal-of-parallelogram-formula\/#Solved_Examples_on_Diagonal_of_Parallelogram_Formula\" title=\"Solved Examples on Diagonal of Parallelogram Formula\">Solved Examples on Diagonal of Parallelogram Formula<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/diagonal-of-parallelogram-formula\/#Frequently_Asked_Questions_on_Diagonal_of_Parallelogram_Formula\" title=\"Frequently Asked Questions on Diagonal of Parallelogram Formula\">Frequently Asked Questions on Diagonal of Parallelogram Formula<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Introduction_to_Diagonal_of_Parallelogram_Formula\"><\/span>Introduction to Diagonal of Parallelogram Formula<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The diagonal of a parallelogram is the line segment that connects its non-adjacent vertices. A parallelogram has 2 diagonals and the length of the diagonals of a parallelogram can be found by using various formulas depending on the given parameters and dimensions. Let us learn more about the diagonals of a parallelogram in this article.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"What_is_the_Diagonal_of_Parallelogram\"><\/span>What is the Diagonal of Parallelogram?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The diagonals of a parallelogram can be drawn by joining the two non-adjacent vertices of the parallelogram. It should be noted that the 2 diagonals of a parallelogram bisect each other, and they divide the parallelogram into congruent triangles.<\/p>\n<p>&nbsp;<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Diagonal_of_Parallelogram_Formula\"><\/span>Diagonal of Parallelogram Formula<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The formula for the diagonals of a parallelogram is used to calculate the length of the diagonals of a given parallelogram. There are different formulas for different kinds of parallelograms. Observe the figure given below which shows a parallelogram along with its diagonals. Here &#8216;p&#8217; and &#8216;q&#8217; are the diagonals and &#8216;x&#8217; and &#8216;y&#8217; are the two sides of the parallelogram.<\/p>\n<p>&nbsp;<\/p>\n<p><img loading=\"lazy\" class=\"size-medium wp-image-622866 aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/06\/Screenshot-2023-06-20-221801-300x157.png\" alt=\"\" width=\"300\" height=\"157\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/06\/Screenshot-2023-06-20-221801-300x157.png?v=1687279694 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/06\/Screenshot-2023-06-20-221801.png?v=1687279694 718w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>The simple formula for finding the length of the diagonals of a parallelogram is given below. For this formula, we need the length of the sides and any of the known angles. If we follow the figure given above, we can observe that:<\/p>\n<p>&nbsp;<\/p>\n<ul>\n<li data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"1\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559684&quot;:-2,&quot;335559685&quot;:720,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Symbol&quot;,&quot;469769242&quot;:[8226],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0b7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"1\" data-aria-level=\"1\">p and q are taken to be the length of the diagonals respectively.<\/li>\n<li data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"1\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559684&quot;:-2,&quot;335559685&quot;:720,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Symbol&quot;,&quot;469769242&quot;:[8226],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0b7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"2\" data-aria-level=\"1\">x and y are the sides of the parallelogram.<\/li>\n<\/ul>\n<ul>\n<li data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"1\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559684&quot;:-2,&quot;335559685&quot;:720,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Symbol&quot;,&quot;469769242&quot;:[8226],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0b7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"1\" data-aria-level=\"1\">Angle A and Angle B are two interior angles of the parallelogram.<\/li>\n<\/ul>\n<p>Formula 1: For any parallelogram, the formula for the length of the diagonals is expressed as:<\/p>\n<p>p = \u221a(x2 + y2 \u2212 2xycosA) = \u221a(x2 + y2 + 2xycosB)<\/p>\n<p>q = \u221a(x2 + y2  + 2xycosA) = \u221a(x2 + y2 \u2212 2xycosB)<\/p>\n<p>&nbsp;<\/p>\n<p>Formula 2: Another formula which expresses the relationship between the length of the diagonals and sides of the parallelogram is:<\/p>\n<p>p2 + q2 = 2(x2 + y2)<\/p>\n<p>Where,<\/p>\n<ul>\n<li data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"2\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559684&quot;:-2,&quot;335559685&quot;:720,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Symbol&quot;,&quot;469769242&quot;:[8226],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0b7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"1\" data-aria-level=\"1\">p and q are the diagonals respectively.<\/li>\n<li data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"2\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559684&quot;:-2,&quot;335559685&quot;:720,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Symbol&quot;,&quot;469769242&quot;:[8226],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0b7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"2\" data-aria-level=\"1\">x and y are the sides of the parallelogram.<\/li>\n<\/ul>\n<p>It should be noted that a square, a rectangle, and a rhombus come under the category of parallelograms. And since they have different properties, the formula that is used to find their diagonals is also different.<\/p>\n<p>For example, the diagonal of a square (d) = a\u221a2; where &#8216;d&#8217; is the diagonal and &#8216;a&#8217; is the side of the square.<\/p>\n<p>The diagonal of a rectangle (d) = \u221a(l2 + w2), where l = length of the rectangle and w = width of the rectangle. Therefore, the formula for the diagonal of a parallelogram varies for different kinds of parallelograms.<\/p>\n<p>&nbsp;<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Properties_of_Diagonal_of_Parallelogram\"><\/span>Properties of Diagonal of Parallelogram<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The following points show the properties of the diagonals of a parallelogram. Since a parallelogram includes a square, a rectangle, a rhombus, the diagonals of these figures have a few common properties and a few different ones.<\/p>\n<ul>\n<li data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"3\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559684&quot;:-2,&quot;335559685&quot;:720,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Symbol&quot;,&quot;469769242&quot;:[8226],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0b7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"1\" data-aria-level=\"1\">The diagonals of a parallelogram always bisect each other.<\/li>\n<li data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"3\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559684&quot;:-2,&quot;335559685&quot;:720,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Symbol&quot;,&quot;469769242&quot;:[8226],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0b7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"2\" data-aria-level=\"1\">In a square, the diagonals are equal and bisect each other at right angles.<\/li>\n<li data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"3\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559684&quot;:-2,&quot;335559685&quot;:720,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Symbol&quot;,&quot;469769242&quot;:[8226],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0b7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"3\" data-aria-level=\"1\">In a rectangle, the diagonals are equal and they bisect each other but not at right angles.<\/li>\n<li data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"3\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559684&quot;:-2,&quot;335559685&quot;:720,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Symbol&quot;,&quot;469769242&quot;:[8226],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0b7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"4\" data-aria-level=\"1\">In a rhombus, the diagonals may not be necessarily equal, but they are perpendicular to each other.<\/li>\n<\/ul>\n<p>&nbsp;<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Solved_Examples_on_Diagonal_of_Parallelogram_Formula\"><\/span>Solved Examples on Diagonal of Parallelogram Formula<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>&nbsp;<\/p>\n<p>Example 1: Find the length of the diagonals of the rhombus of side length 4 inches, if the interior angles are 120\u00b0 and 60\u00b0.<\/p>\n<p>&nbsp;<\/p>\n<p>Solution:<\/p>\n<p>Given, Interior angle A = 120\u00b0, and angle B = 60\u00b0.<\/p>\n<p>x = 4, y = 4<\/p>\n<p>Using diagonal of parallelogram formula,<\/p>\n<p>p = \u221a(x2 + y2 \u2212 2xycosA) = \u221a(x2 + y2 + 2xycosB)<\/p>\n<p>q = \u221a(x2 + y2  + 2xycosA) = \u221a(x2 + y2 \u2212 2xycosB)<\/p>\n<p>Putting the values in the formula for p:<\/p>\n<p>P = \u221a{42 + 42 \u2212(2 \u00d7 4 \u00d7 4 \u00d7 cos60)} = \u221a(32 \u2212 16) = \u221a16<\/p>\n<p>P = 4<\/p>\n<p>Now, doing same for q,<\/p>\n<p>q = \u221a{42 + 42 + (2 \u00d7 4 \u00d7 4 \u00d7 cos60) = \u221a(32 + 16)<\/p>\n<p>q = \u221a48<\/p>\n<p>q = 6.92<\/p>\n<p>&nbsp;<\/p>\n<p>Example 2: For a parallelogram ABCD, if the length of the adjacent sides is 35 ft and 82 ft. If one of the interior angles is 37\u00b0. Find the length of any diagonal.<\/p>\n<p>&nbsp;<\/p>\n<p>Solution:<\/p>\n<p>Given, Interior angle A = 37\u00b0<\/p>\n<p>x = 35 ft, y = 82 ft<\/p>\n<p>Using diagonal of parallelogram formula,<\/p>\n<p>p = \u221a(x2 + y2 \u2212 2xycosA) = \u221a(x2 + y2 + 2xycosB)<\/p>\n<p>Putting the values in the formula for p:<\/p>\n<p>p = \u221a{352 + 822 \u2212 (2 \u00d7 35 \u00d7 82 \u00d7 cos37) = \u221a3364<\/p>\n<p>p = 58<\/p>\n<p>The length of the diagonal is 58 ft.<\/p>\n<p>&nbsp;<\/p>\n<p>Example 3: Calculate the length of the diagonal of a parallelogram with sides 4 units, 6 units and an interior angle A which is equal to 60 degrees.<\/p>\n<p>&nbsp;<\/p>\n<p>Solution:<\/p>\n<p>Given, a = 4 units, b = 6 units, angle A = 60\u00b0<\/p>\n<p>Using diagonal of parallelogram formula,<\/p>\n<p>p = \u221a(x2 + y2 \u2212 2xycosA) = \u221a(x2 + y2 + 2xycosB)<\/p>\n<p>Putting the values in the formula for p:<\/p>\n<p>p = \u221a42 + 62 \u2212 24 = \u221a28<\/p>\n<p>= 5.291<\/p>\n<p>Diagonal of parallelogram = 5.291 units.<\/p>\n<p>&nbsp;<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Frequently_Asked_Questions_on_Diagonal_of_Parallelogram_Formula\"><\/span>Frequently Asked Questions on Diagonal of Parallelogram Formula<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>&nbsp;<\/p>\n<p>1: What is the Diagonal of a Parallelogram?<\/p>\n<p>Answer: The diagonal of a parallelogram is the line segment that joins the two non-adjacent vertices of the parallelogram. It is to be noted that 2 diagonals can be drawn in a parallelogram.<\/p>\n<p>&nbsp;<\/p>\n<p>2: What is the Diagonal of a Parallelogram Formula?<\/p>\n<p>Answer: A simple formula which is used to find the length of the diagonals of a parallelogram needs the value of the interior angles and the length of the sides. For any parallelogram, the formula for the length of the diagonals is expressed as,<\/p>\n<p>p = \u221a(x2 + y2 \u2212 2xycosA) = \u221a(x2 + y2 + 2xycosB)<\/p>\n<p>q = \u221a(x2 + y2  + 2xycosA) = \u221a(x2 + y2 \u2212 2xycosB)<\/p>\n<p>where p and q are the lengths of the diagonals, angle A and angle B are the given interior angles and x and y are the sides of the parallelogram.<\/p>\n<p>&nbsp;<\/p>\n<p>3: How to Use the Diagonal of a Parallelogram Formula?<\/p>\n<p>Answer: For any parallelogram, let p and q be the lengths of the diagonals and x and y be the sides of the parallelogram then<\/p>\n<ul>\n<li data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"4\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559684&quot;:-2,&quot;335559685&quot;:720,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Symbol&quot;,&quot;469769242&quot;:[8226],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0b7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"1\" data-aria-level=\"1\"> Step 1: Check for the given parameters, the values of the sides of the parallelograms, and the corresponding angles.<\/li>\n<li data-leveltext=\"\uf0b7\" data-font=\"Symbol\" data-listid=\"4\" data-list-defn-props=\"{&quot;335552541&quot;:1,&quot;335559684&quot;:-2,&quot;335559685&quot;:720,&quot;335559991&quot;:360,&quot;469769226&quot;:&quot;Symbol&quot;,&quot;469769242&quot;:[8226],&quot;469777803&quot;:&quot;left&quot;,&quot;469777804&quot;:&quot;\uf0b7&quot;,&quot;469777815&quot;:&quot;hybridMultilevel&quot;}\" aria-setsize=\"-1\" data-aria-posinset=\"2\" data-aria-level=\"1\">Step 2: Substitute the values in the formula,<\/li>\n<\/ul>\n<p>p = \u221a(x2 + y2 \u2212 2xycosA) = \u221a(x2 + y2 + 2xycosB)<\/p>\n<p>q = \u221a(x2 + y2  + 2xycosA) = \u221a(x2 + y2 \u2212 2xycosB)<\/p>\n<p>&nbsp;<\/p>\n<p>4: What are the Components of the Diagonal of Parallelogram Formula?<\/p>\n<p>Answer: The formula for the diagonal of parallelogram helps to find the length of the diagonals by using the length of the sides and any of the known angles. Thus, its components include the sides of the parallelogram and the corresponding angles.<\/p>\n<p>&nbsp;<\/p>\n<p>5: Do the Diagonals of a Parallelogram Bisect Each Other?<\/p>\n<p>Answer: Yes, the diagonals of a parallelogram bisect each other. This means that the diagonals of a parallelogram divide each other into 2 equal parts.<\/p>\n<p>&nbsp;<\/p>\n<p>6: Are the Diagonals of a Parallelogram Equal?<\/p>\n<p>Answer: A parallelogram includes a square, a rectangle, and a rhombus. While the diagonals of a square and rectangle are equal, the diagonals of a rhombus may not be necessarily equal.<\/p>\n<p>&nbsp;<\/p>\n<p>7: How to Find the Diagonals of a Parallelogram without Angles?<\/p>\n<p>Answer: The length of the diagonals of a parallelogram can be calculated even when the interior angles are not given. For example, if the parallelogram is a rectangle, we know that the diagonals of a rectangle form a right-angled triangle. So, in this case, if the sides of the rectangle are known, the length of the diagonal can be calculated using the Pythagoras theorem because the diagonal becomes the hypotenuse. This method can also be applied if the given parallelogram is a square.<\/p>\n<p>&nbsp;<\/p>\n<p>8: What are the opposite angles of a parallelogram?<\/p>\n<p>Answer: The opposite angles of a parallelogram are equal and the consecutive angles of a parallelogram are supplementary.<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Introduction to Diagonal of Parallelogram Formula The diagonal of a parallelogram is the line segment that connects its non-adjacent vertices. [&hellip;]<\/p>\n","protected":false},"author":53,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Diagonal of Parallelogram Formula","_yoast_wpseo_title":"Diagonal of Parallelogram Formula with Examples Infinity learn","_yoast_wpseo_metadesc":"Learn how to find the length of a diagonal in a parallelogram using the diagonal of parallelogram formula and lengths of its sides and angles.","custom_permalink":"formulas\/diagonal-of-parallelogram-formula\/"},"categories":[8438,8536],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Diagonal of Parallelogram Formula with Examples Infinity learn<\/title>\n<meta name=\"description\" content=\"Learn how to find the length of a diagonal in a parallelogram using the diagonal of parallelogram formula and lengths of its sides and angles.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/infinitylearn.com\/surge\/formulas\/diagonal-of-parallelogram-formula\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Diagonal of Parallelogram Formula with Examples Infinity learn\" \/>\n<meta property=\"og:description\" content=\"Learn how to find the length of a diagonal in a parallelogram using the diagonal of parallelogram formula and lengths of its sides and angles.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/infinitylearn.com\/surge\/formulas\/diagonal-of-parallelogram-formula\/\" \/>\n<meta property=\"og:site_name\" content=\"Infinity Learn by Sri Chaitanya\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/\" \/>\n<meta property=\"article:published_time\" content=\"2023-06-20T16:48:24+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2025-02-28T11:43:59+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/06\/Screenshot-2023-06-20-221801-300x157.png\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@InfinityLearn_\" \/>\n<meta name=\"twitter:site\" content=\"@InfinityLearn_\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Ankit\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"6 minutes\" \/>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Diagonal of Parallelogram Formula with Examples Infinity learn","description":"Learn how to find the length of a diagonal in a parallelogram using the diagonal of parallelogram formula and lengths of its sides and angles.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/infinitylearn.com\/surge\/formulas\/diagonal-of-parallelogram-formula\/","og_locale":"en_US","og_type":"article","og_title":"Diagonal of Parallelogram Formula with Examples Infinity learn","og_description":"Learn how to find the length of a diagonal in a parallelogram using the diagonal of parallelogram formula and lengths of its sides and angles.","og_url":"https:\/\/infinitylearn.com\/surge\/formulas\/diagonal-of-parallelogram-formula\/","og_site_name":"Infinity Learn by Sri Chaitanya","article_publisher":"https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/","article_published_time":"2023-06-20T16:48:24+00:00","article_modified_time":"2025-02-28T11:43:59+00:00","og_image":[{"url":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/06\/Screenshot-2023-06-20-221801-300x157.png"}],"twitter_card":"summary_large_image","twitter_creator":"@InfinityLearn_","twitter_site":"@InfinityLearn_","twitter_misc":{"Written by":"Ankit","Est. reading time":"6 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Organization","@id":"https:\/\/infinitylearn.com\/surge\/#organization","name":"Infinity Learn","url":"https:\/\/infinitylearn.com\/surge\/","sameAs":["https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/","https:\/\/www.instagram.com\/infinitylearn_by_srichaitanya\/","https:\/\/www.linkedin.com\/company\/infinity-learn-by-sri-chaitanya\/","https:\/\/www.youtube.com\/c\/InfinityLearnEdu","https:\/\/twitter.com\/InfinityLearn_"],"logo":{"@type":"ImageObject","@id":"https:\/\/infinitylearn.com\/surge\/#logo","inLanguage":"en-US","url":"","contentUrl":"","caption":"Infinity Learn"},"image":{"@id":"https:\/\/infinitylearn.com\/surge\/#logo"}},{"@type":"WebSite","@id":"https:\/\/infinitylearn.com\/surge\/#website","url":"https:\/\/infinitylearn.com\/surge\/","name":"Infinity Learn by Sri Chaitanya","description":"Surge","publisher":{"@id":"https:\/\/infinitylearn.com\/surge\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/infinitylearn.com\/surge\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"ImageObject","@id":"https:\/\/infinitylearn.com\/surge\/formulas\/diagonal-of-parallelogram-formula\/#primaryimage","inLanguage":"en-US","url":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/06\/Screenshot-2023-06-20-221801.png?v=1687279694","contentUrl":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/06\/Screenshot-2023-06-20-221801.png?v=1687279694","width":718,"height":376},{"@type":"WebPage","@id":"https:\/\/infinitylearn.com\/surge\/formulas\/diagonal-of-parallelogram-formula\/#webpage","url":"https:\/\/infinitylearn.com\/surge\/formulas\/diagonal-of-parallelogram-formula\/","name":"Diagonal of Parallelogram Formula with Examples Infinity learn","isPartOf":{"@id":"https:\/\/infinitylearn.com\/surge\/#website"},"primaryImageOfPage":{"@id":"https:\/\/infinitylearn.com\/surge\/formulas\/diagonal-of-parallelogram-formula\/#primaryimage"},"datePublished":"2023-06-20T16:48:24+00:00","dateModified":"2025-02-28T11:43:59+00:00","description":"Learn how to find the length of a diagonal in a parallelogram using the diagonal of parallelogram formula and lengths of its sides and angles.","breadcrumb":{"@id":"https:\/\/infinitylearn.com\/surge\/formulas\/diagonal-of-parallelogram-formula\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/infinitylearn.com\/surge\/formulas\/diagonal-of-parallelogram-formula\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/infinitylearn.com\/surge\/formulas\/diagonal-of-parallelogram-formula\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/infinitylearn.com\/surge\/"},{"@type":"ListItem","position":2,"name":"Diagonal of Parallelogram Formula\u00a0"}]},{"@type":"Article","@id":"https:\/\/infinitylearn.com\/surge\/formulas\/diagonal-of-parallelogram-formula\/#article","isPartOf":{"@id":"https:\/\/infinitylearn.com\/surge\/formulas\/diagonal-of-parallelogram-formula\/#webpage"},"author":{"@id":"https:\/\/infinitylearn.com\/surge\/#\/schema\/person\/d647d4ff3a1111ff8eeccdb6b12651cb"},"headline":"Diagonal of Parallelogram Formula\u00a0","datePublished":"2023-06-20T16:48:24+00:00","dateModified":"2025-02-28T11:43:59+00:00","mainEntityOfPage":{"@id":"https:\/\/infinitylearn.com\/surge\/formulas\/diagonal-of-parallelogram-formula\/#webpage"},"wordCount":1193,"publisher":{"@id":"https:\/\/infinitylearn.com\/surge\/#organization"},"image":{"@id":"https:\/\/infinitylearn.com\/surge\/formulas\/diagonal-of-parallelogram-formula\/#primaryimage"},"thumbnailUrl":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/06\/Screenshot-2023-06-20-221801-300x157.png","articleSection":["Formulas","Math Formulas"],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/infinitylearn.com\/surge\/#\/schema\/person\/d647d4ff3a1111ff8eeccdb6b12651cb","name":"Ankit","image":{"@type":"ImageObject","@id":"https:\/\/infinitylearn.com\/surge\/#personlogo","inLanguage":"en-US","url":"https:\/\/secure.gravatar.com\/avatar\/b1068bdc2711bd9c9f8be3b229f758f6?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/b1068bdc2711bd9c9f8be3b229f758f6?s=96&d=mm&r=g","caption":"Ankit"},"url":"https:\/\/infinitylearn.com\/surge\/author\/ankit\/"}]}},"_links":{"self":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/posts\/622857"}],"collection":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/users\/53"}],"replies":[{"embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/comments?post=622857"}],"version-history":[{"count":0,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/posts\/622857\/revisions"}],"wp:attachment":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/media?parent=622857"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/categories?post=622857"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/tags?post=622857"},{"taxonomy":"table_tags","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/table_tags?post=622857"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}