Math, asked by asksandeepraj7478, 1 year ago

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

Answers

Answered by abhi178
5
Given, A circle touches all the sides of ABCD.
also AB = 5, BC = 8 and CD = 6.
we have to find AD = ?

see figure, here a circle of centre O touches all sides of quadirateral ABCD.

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

hence, AD = 3
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