![Example 6 - Chapter 6 Class 10 Triangles - Part 2](https://d1avenlh0i1xmr.cloudfront.net/cf7ed0b0-c792-496d-acd8-9d0b31cd2176/slide13.jpg)
Examples
Last updated at April 16, 2024 by Teachoo
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