Q7 of 31 Page 234

A circle touches all the sides of â ABCD. If AB = 5, BC = 8, CD = 6. Find AD.


We know that if a circle touches all the sides of a quadrilateral, then AB + CD = BC + DA


Given AB = 5, BC = 8, CD = 6


⇒ 5 + 6 = 8 + DA


⇒ 11 = 8 + DA


⇒ DA = 3


∴ AD = 3


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