Question

the side of triangle are in the ratio of 4 ratio 6 ratio 5 ratio and its perimeter is 300 m.find it's area​

Answer 1

Answer:

3968.63 m²

Step-by-step explanation:

a : b : c = 4 : 5 : 6 and $P_{ABC}$ = 300 m

4x + 5x + 6x = 300

15x = 300

x = 20 m

a = 80 m , b = 100 m , c = 120 m

$Area_{ABC}$ = $\sqrt{s(s-a)(s-b)(s-c)}$ , where s = $P_{ABC}$ / 2

A = $\sqrt{150(150-80)(150-100)(150-120)}$ ≈ 3968.63 m²