Question

Prove: If two angles of a triangle are not congruent, then the sides opposite those angles...

Prove: If two angles of a triangle are not congruent, then the sides opposite those angles are not congruent.

Homework Answers

Answer #1

We do this by contradiction...

Given that two angles of traingle are not congruent...

Let us assume that their opposite two side of a triangle are congruent..

So triangle is issoceles triangles...and in issoceles traingle two angles are congruent...or you can use theoram.

Theoram states that , opposite angle of congruent sides are congruent...

So two angles of triangle are congruent... But it is contradiction to given statement...

So our assumption is wrong..

This shows that these two opposite sides of those angles are not congruent..

Any doubt then comment below..

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