What are the Rules of Congruency?
There are four main rules of congruence for triangles:
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SSS Criterion: Side-Side-Side -Two triangles are known to be congruent if all the sides of any given triangle are equal in measure to all the corresponding sides of the other triangle.
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SAS Criterion: Side-Angle-Side-Two triangles are known to be congruent if two sides and the included angle of one of the triangles are equal to the two sides and the included angle of the other triangle.
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ASA Criterion: Angle-Side- Angle – Two triangles are known to be congruent if two angles and the included side of one of the triangles are equal to two angles and the included side of another triangle.
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RHS Criterion: Right angle- Hypotenuse-Side
In this article we are going to discuss the SSS congruence & constructing triangles with sss congruence.
SSS Congruence Rule: If three sides of 1 triangle are similar to the corresponding sides of another triangle, then the triangles are known to be congruent. Constructing triangles with sss congruence criteria is possible when all the three sides are known to us. The necessities of constructing triangles with sss congruence are basically a ruler and a compass. Side-Side-Side is one among the properties of similar triangles.
How to Construct a Triangle with the Given Three Sides?
By the SSS(Side,Side,Side) rule, construction of a triangle is easily possible with three given side measures. For the construction of a triangle, you need to first identify the longest measure among the three side measures. Now, draw the longest side measure because of the base of the triangle, then take other measurements using a ruler to mark the arcs by taking the endpoints of the bottom as vertices. Finally, now you need to join the intersection of arcs with the endpoints of the base to get the specified triangle
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SSS – Side, Side, Side |
