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Theorem 7.2 - Angle opposite to equal sides of an isosceles triangle.jpg

Theorem 7.2 - Chapter 7 Class 9 Triangles - Part 2

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Theorem 7.2 :- 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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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.