A triangle has two sides of length and

MATHEMATICS · Single correct · GCSE · Mathematics · Geometry and Measures · Geometry and Measures

Problem

A triangle has two sides of length

7\,\text{cm}

and

9\,\text{cm}

. The third side is an integer between

8\,\text{cm}

and

11\,\text{cm}

(inclusive). For which value of the third side will the area of the triangle be the greatest? (a)

9\,\text{cm}

(b)

11\,\text{cm}

(c)

10\,\text{cm}

(d)

8\,\text{cm}