[Answer] In the given figure, a circle is inscribed in the quadrilateral ABCD. Given AB=6cm, BC=7cm and CD=4cm. Find AD.

The Question : In the given figure, a circle is inscribed in the quadrilateral ABC
D) Given AB=6cm, BC=7cm and CD=4cm. Find A
D)

Solution for the question :
∵ Tangent segments drawn from an external point to a circle are equal ∴ BP = BQ CR = CQ DR = DS AP = AS ⇒ BP + CR + DR + AP = BQ + CQ + DS + AS ⇒ AB + DC = BC + AD ∴ AD = 10 – 7 = 3 cm

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