Question

In the given figure, a circle touches all the four sides of a quadrilateral ABCD whose three sides are AB=6 cm, BC = 7 cm and CD =4 cm. Find AD.​

Answer 1

Answer:

AP =AS (the tangents drawn from an external poi t to a circle are epual)

Answer 2

Question:-

In the given figure, a circle touches all the four sides of a quadrilateral ABCD whose three sides are AB=6 cm, BC = 7 cm and CD =4 cm. Find AD.

${\red{\underline{\underline{\bold{Answer:-}}}}}$

Draw perpendicular (normals) to the sides at the points where the inscribed circle touches the quadrilateral.

Let GC = x cm.  So  DG = 4 -x = DH = 4-x  cm

As CF = x cm, FB = 7-x  so BE = 7 - x  cm

So AE = 6 - (7-x) = x-1  cm

So AH = x-1 and  AD = x-1+4-x = 3 cm..