Question: Inside a quadrilateral ABCD (right-angled at B), a circle is drawn in such a way that all the four sides of the quadrilateral are tangent

Inside a quadrilateral ABCD (right-angled at B), a circle is drawn in such a way that all the four sides of the quadrilateral are tangent to the circle. Circle touches side CD at P and side BC at R. Given that PD = 9 cm and RC = 11 cm. If radius of the circle = 5 cm, find the length of BC.

(a) 16

(b) 12

(c) 18

(d) 14

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