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Question 6 (Choice 2) - CBSE Class 10 Sample Paper for 2022 Boards - Maths Basic [Term 2] - Solutions of Sample Papers for Class 10 Boards

Last updated at Dec. 14, 2024 by

In the given figure, a circle is inscribed in the quadrilateral ABCD. Given AB = 6cm, BC = 7cm and CD = 4cm. Find AD.

This question is similar to Ex 10.2, 8 Chapter 10 Class 10 - Circles

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Transcript

In the given figure, a circle is inscribed in the quadrilateral ABCD. Given AB = 6cm, BC = 7cm and CD = 4cm. Find AD. We know that Lengths of tangents drawn from external point are equal Thus, AP = AS BP = BQ CR = CQ DR = DS Adding (1) + (2) + (3) + (4) AP + BP + CR + DR = AS + BQ + CQ + DS (AP + BP) + (CR + DR )= (AS + DS ) + (BQ + CQ) AB + CD = AD + BC Putting AB = 6cm, BC = 7cm and CD = 4cm 6 + 4 = AD + 7 10 = AD + 7 10 − 7 = AD AD = 3 cm

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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 and Computer Science at Teachoo