Question

Prove that in
angles opposite
the equal sides of
isosceles triangle
are equalप्रूफ दैट एंगल ऑपोजिट टो इक्वल साइड्स ऑफ एन आई प्लस ट्रायंगल आर इक्वल ​

Answer 1

Step-by-step explanation:

because the two sides of isosceles triangle are equal

Answer 2

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MATHS

Show that in an isosceles triangle angles opposite to equal sides are equal

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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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