Question

show that in an isosceles triangle, opposite side are e
qual​

Answer 1

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 )

hope it helps

Answer 2

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