Prove that angles opposite to equal sides of an isosceles triangle are

1.	Prove that angles opposite to equal sides of an isosceles triangle are equal.please give the proof
Answer» Answer: Let △ABC be an isosceles triangle such that AB =AC Then we have to prove that ∠B=∠C Draw the bisector AD of ∠A meeting BC in D Now in triangles ABD and ACD We have AB=AC (Given) ∠BAD=∠CAD (because AD is bisector of ∠A AD=AD (Common side) Therefore by SAS congruence CONDITION we have △ABC≅△ACD ⇒∠B=∠C (Corresponding parts of congruent triangles are equal ). ĦØP€ IŦŞ Ħ€ŁP ¥ØỮ

Prove that angles opposite to equal sides of an isosceles triangle are equal.please give the proof

Answer»

Answer:

Let △ABC be an isosceles triangle such that AB =AC Then we have to prove that ∠B=∠C Draw the bisector AD of ∠A meeting BC in D

Now in triangles ABD and ACD We have AB=AC (Given)

∠BAD=∠CAD (because AD is bisector of ∠A

AD=AD (Common side)

Therefore by SAS congruence CONDITION we have

△ABC≅△ACD

⇒∠B=∠C

(Corresponding parts of congruent triangles are equal ).

ĦØP€ IŦŞ Ħ€ŁP ¥ØỮ

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Prove that angles opposite to equal sides of an isosceles triangle are equal.please give the proof ​