Question

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


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Answer 1

Answer:

sent figure then I will give answer for your question

Answer 2

Question:

In the given figure, a circle touches all the four sides of a quadrilateral ABCD whose sides are AB = 6 cm,

BC = 7 cm and CD = 4 cm. Find AD.

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

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

hope it helps you.