Question

If perimeter of a triangular plot is 250m and the lengths of the sides of a triangular plot are in the ratio of 4:7:9.Find its area.

Answer 1

I think this is correct and this may help you

Answer 2

here is your solution

given :-

ratio of sides of triangle is 4:7:9

let x
A/q
4x+7x+9X= 250
20x=250
x= 12.5

4x=4×12.5=50m
7x=7×12.5=87.5m
9x=9×12.5=112.5m

➡sides of triangle are 50m , 87.5m , 112.5m

as assumption it is scalene triangle so we
➡semi perimeter =250/2=125

$using \: heroes \: formula\\ = \sqrt{s(s - a)(s - b)(s - c)} \\ = \sqrt{125(125 - 50)(125 - 87.5)(125 - 112.5 } \\ = \sqrt{125 \times 75 \times 37.5 \times 12.5 } \\ = \sqrt{25 \times 5 \times 25 \times 3 \times 37.5 \times 12.5} \\ = 25 \sqrt{5 \times 3 \times 37.5 \times 12.5} \\ = 25 \sqrt{ 7,031.25} \\ = 25 \times 83.8 \\ = 2096m^2$