Diagonal PR of quadrilateral PRSQ divides it into two triangles PQR and PRS

MATHEMATICS · Subjective · CBSE · Mathematics · Heron's Formula · Heron's Formula

Problem

Diagonal PR of quadrilateral PRSQ divides it into two triangles PQR and PRS. In triangle PQR, ∠Q\angle Q is a right angle, with PQ=6 cmPQ = 6\,\text{cm} and QR=8 cmQR = 8\,\text{cm}. In triangle PRS, the sides are PR, 7 cmPR,\ 7\,\text{cm} and 9 cm9\,\text{cm}. Calculate the area of quadrilateral PRSQ.

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