to verify that angle opposite to equal rides of a triangle are equal
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{Angle opposite to equal sides of an isosceles triangle are equal. }
{Given :- Isosceles triangle ABC i.e.
AB = AC To Prove :- ∠B = ∠C
Construction:- Draw a bisector of
∠A intersecting BC at D. Proof:- In
△BAD and △CAD AB = AC ∠BAD =
∠CAD AD = AD △BAD ≅ △CAD
Thus, ∠ABD = ∠ACD ⇒ ∠B = ∠C
Hence, angles opposite to equal sides are equal.
Hence proved
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