Math, asked by akshara9999, 2 months ago

CONGRUENT-TRIANGLES
1. Show that in an isosceles triangle, angles opposite to the equal sides are equal.
PLEASE ANSWER THE QUESTION FAST​

Answers

Answered by rudrapdave05
0

Answer:

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Answered by aditisinghrajpoot
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 )

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