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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 is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.