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Theorem 7.3 - Chapter 7 Class 9 Triangles
Last updated at Dec. 16, 2024 by Teachoo
Opposite Angles of equal sides
Chapter 7 Class 9 Triangles
Concept wise
- Congruency - Introduction
- SAS
- ASA/AAS
-
Opposite Angles of equal sides
- SSS
- RHS
- Side inequality
Transcript
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
