Example 6 - Chapter 6 Class 10 Triangles

Last updated at April 16, 2024 by

Example 6 - OA . OB = OC . OD. Show that A = C and B = D - SAS Similarity

Example 6 - Chapter 6 Class 10 Triangles - Part 2

Transcript

Example 6 In figure, OA . OB = OC . OD. Show that ∠ A = ∠ C and ∠ B = ∠ D. Given: OA × OB = OC × OD To Prove: ∠ A = ∠ C and ∠ B = ∠ D Proof:- OA . OB = OC . OD 𝑂𝐴/𝑂𝐶=𝑂𝐷/𝑂𝐵 In Δ AOD & Δ COB 𝑂𝐴/𝑂𝐶=𝑂𝐷/𝑂𝐵 ∠ AOD = ∠ COB Using SAS similarity criterion So, ∆ 𝐴𝑂𝐷 ~ ∆ 𝐶𝑂𝐵 We know that if two triangles are similar so, their corresponding angles are equal So, ∠ A = ∠ C & ∠ D = ∠ B 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.