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 has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.