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Theorem 7.3 - Sides opposite to equal angles of triangle are equal.jpg

Theorem 7.3 - Chapter 7 Class 9 Triangles - Part 2

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Theorem 7.3 :- The sides opposite to equal angles of a triangle are equal. Given :- A triangle ABC where ∠B = ∠C To Prove :- AB = AC Construction:- Draw a bisector of ∠A intersecting BC at D. Proof:- In △BAD and △CAD ∠ B = ∠ C ∠BAD = ∠CAD AD = AD △BAD ≅ △CAD Thus, AB = AC Hence, sides opposite to equal angles are equal. Hence proved

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.