5. In the adjacent diagram, CD = 4 cm.
Find length of AB and BC.
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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
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