Question

find area of triangle if sides are 24,32 and 40 cm respectively. ​

Answer 1

Answer:

384 square cm is the area of the given triangle

Answer 2

$s = \frac{24 + 32 + 40}{2} = \frac{96}{2} = 48$

Area

$= \sqrt{48(48 - 24)(48 - 40)(48 - 32)}$

$= \sqrt{48 \times 24 \times 8 \times 16}$

$= \sqrt{24 \times 2 \times 24 \times 8 \times 16}$

$= \sqrt{24 \times 2 \times 24 \times 8 \times 2 \times 8}$

$= 24 \times 2 \times 8$

$= 24 \times 16$

$= 384 {cm}^{2}$