Question

If all side a triangle are congruent then its all angle are congruent ? proof that

Answer 1

Answer:

Let us consider a triangle ABC having three sides namely AB, BC and AC. ... Since, AB, BC and AC have ∠A, ∠B and ∠C respective angles then accordingly, if the sides of the triangle are congruent then the angles corresponding to them are always congruent. Hence, ∠A≅∠B≅∠C which is the consequent part of the given statement.

Step-by-step explanation:

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Answer 2

If all sides of a triangle are congruent then its all angles are congruent..

By Side side side criteria..

Let in , ∆ABC and ∆DEF..

AB=DE

BC=EF

AC=DF

By SSS ∆ABC and ∆DEF will be congruent .. and

By CPCT all angles will be congruent..

it will be congruent proof

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