To explain : in order to use the SSS Congruence Theorem to prove that two triangles are congruent , both triangles must be equilateral triangles.
Explanation of Solution
Given information:
The SSS Congruence Theorem is used to prove that two triangles are congruent , the triangles must be equilateral.
Formula used:
Side-Side-Side Congruence Theorem
If three sides of one triangle are congruent to three sides of a second triangle, then two triangles are congruent.
Calculation:
According to the theorem,
The SSS Congruence theorem is used to prove that the two triangles are congruent.
The condition is both the triangles have same side measures.
This proves that the triangles does need to be equilateral triangle.
Hence Proved.
Chapter 12 Solutions
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