Quadrilateral has sides

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

Problem

Quadrilateral

PQRS

has sides

PQ = 13\ \text{cm},\ QR = 14\ \text{cm},\ RS = 17\ \text{cm},\ SP = 8\ \text{cm}

. Its total area is

144\ \text{cm}^2

. If

PR

is the diagonal that divides the quadrilateral into

\triangle PQR

and

\triangle PRS

, what is the length of

PR

? (a)

14\ \text{cm}

(b)

15\ \text{cm}

(c)

13\ \text{cm}

(d)

16\ \text{cm}