Example 6 - Chapter 7 Class 9 Triangles (Important Question)

Last updated at April 16, 2024 by

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Example 6 In an isosceles triangle ABC with AB = AC, D and E are points on BC such that BE = CD (see figure). Show that AD = AE. Given: ∆ ABC is isosceles, So, AB = AC Also, BE = CD To prove: AD = AE Proof: Since AB = AC Therefore, ∠ C = ∠ B In ∆ ACD and ∆ ABE, AC = AB ∠ C = ∠ B CD = BE So, ∆ ACD ≅ ∆ ABE ∴ AD = AE 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 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.