A triangle has side lengths

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

Problem

x\,\text{cm}

12\,\text{cm}

and

(18-x)\,\text{cm}

, where

x

is an integer between

7

and

10

(inclusive). For which value of

x

is the area of the triangle the largest? (a) 8 (b) 7 (c) 9 (d) 10