The sides of a triangle are

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

Problem

x\,\text{cm}

(x+2)\,\text{cm}

and

(x+4)\,\text{cm}

. If its semiperimeter is

15\,\text{cm}

, find its area. (a)

60\,\text{cm}^2

(b)

15\sqrt{7}\,\text{cm}^2

(c)

30\sqrt{7}\,\text{cm}^2

(d)

15\sqrt{5}\,\text{cm}^2