Table of Contents
Introduction to Constructing Triangle With Compass
A compass is a tool that is used to draw circles and other shapes. It is also used to measure distances. A compass has a sharp point on one end and a round disc on the other. The sharp point is used to mark the center of the circle or other shape. The round disc is used to draw the circle or other shape.
A compass can be used to construct a triangle. The first step is to find the center of the triangle. The center is marked with the sharp point of the compass. The next step is to draw the three sides of the triangle. The sides are drawn using the round disc of the compass. The compass is placed at the end of each side and the distance is measured. The distance is then drawn on the paper.
How to Construct Triangles?
There are a few different ways to construct a triangle, depending on the information given. If you are given the coordinates of the three vertices, you can use a ruler and compass to draw the triangle. If you are given the length of two sides and the angle between them, you can use a trigonometric function to find the third side. If you are given the length of one side and the two angles adjacent to that side, you can use the Law of Sines to find the other two sides.
Constructing Triangle When Hypotenuse and One Side is Given
Given a right triangle with a given hypotenuse and one side, the other side can be found using the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the length of the longest side. This theorem can be written as:
A^2 + B^2 = C^2
where A and B are the shorter sides and C is the length of the hypotenuse.
To find the length of the other side, B, using the Pythagorean theorem, we first need to find the value of C. C can be found using the equation:
C = \sqrt{A^2 + B^2}
Once we have the value of C, we can use it in the Pythagorean theorem to find the value of B. B will be the length of the other side, opposite the angle of 45 degrees.
Constructing Triangle When Two Sides and Included Angle are Given
When two sides and an included angle are given, the triangle can be constructed by using a straight edge to draw the missing side.
In the figure above, the triangle can be constructed by drawing the missing side.
Constructing Triangle When Two Sides and Included Angle are Given
When two sides and an included angle are given, the triangle is already drawn and just needs to be labeled. The triangle can be solved by using the Pythagorean theorem.
Constructing Triangle Given Three Sides
To construct a triangle with three given sides, first draw a line segment connecting the two endpoints of the first side. Then, use the length of the first side as the base of a right triangle and draw the right angle at the end of the first side. Finally, draw the second side of the triangle using the length of the first side as the height.
Drawing Triangle With Protractor
To draw a triangle with a protractor, first find the center of the protractor and place the point of the protractor at the center of the paper. Next, draw a line from the center of the protractor to one corner of the paper. Draw another line from the center of the protractor to the opposite corner of the paper. Finally, connect the two lines to form the triangle.
