In quadrilateral

MATHEMATICS · Single correct · CBSE · Mathematics · Heron's Formula · Heron's Formula

Problem

In quadrilateral PQRSPQRS, sides are PQ=6 cm, QR=8 cm, RS=13 cm, SP=13 cmPQ = 6\ \text{cm},\ QR = 8\ \text{cm},\ RS = 13\ \text{cm},\ SP = 13\ \text{cm}. The diagonal PRPR is common to two triangles, and △PQR\triangle PQR is right-angled at QQ. Find the area of PQRSPQRS. (a) 90 cm290\ \text{cm}^2 (b) 84 cm284\ \text{cm}^2 (c) 60 cm260\ \text{cm}^2 (d) 108 cm2108\ \text{cm}^2

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