Question

prove that the angles opposite side to equal sides ofan insoceles triangle are equal​

Answer 1

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>>Show that in an isosceles triangle angle

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

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Solution

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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 )