a circle touche all 4 sides of a quadrilateral ABCD with AB=6cm BC=7cm and CD=4cm also circle touches side of quadrilateral with PQRS respectively find AD?
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Answer:
3cm
Step-by-step explanation:
Let P,Q,R,S be the points where the circle touches the quadrilateral .From a point out side of the circle the two tangents to the circle are equal.
AP = AS,BP = BQ , CR = CQ , and DR = DS
Adding AP + BP + CR + DR = AS + BQ + CQ + DS
AB + CD = AD + BC
6 + 4 = AD + 7
AD = 3 cm .
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