Question

65. In fig, a circle touches all the four sides of a
Quadrilateral ABCD with AB=6cm; BC = 7 cm
and CD = 4cm. find AD.​

Answer 1

See the attachment for diagram..

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

Answer 2

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