Question

Find the area of the field if the perimeter of a triangular field is 144 m and the ratio of its sides are 3 4 5

Answer 1

Answer:

Step-by-step explanation:

given ratios therefore sides = 3x 4x and 5x

$3x+4x+5x=144\\12x=144\\x=12\\area= herons  formula\\sides=36,48,50\\s=36+48+50/2\\s=67\\area=\sqrt{s(s-a)(s-b)(s-c)} \\a=\sqrt{67(67-36)(67-48)(67-50)}\\a=\sqrt{67(31)(19)(17)}\\ a=\sqrt{670871}\\ a=819.06$