Question

The sides of a triangular plot are in the ratio of 3:5:7and its perimeter is 300 m. find its area​

Answer 1

Answer:

1500√3 m^2

Explanation:

let the sides be 3x,5x,7x

so 3x+5x+7x=300m

15x=300

x=20m

sides are

3×20, 5×20, 7×20

60m ,100m ,140m

s= a+b+c/2

60+100+140/2

300/2 = 150m

ar(∆) =√s(s-a) (s-b) (s-c)

= √150(150-60) (150-100) (150-140)

= √5×3×10×3×3×10×5×10×10

= 100×5×3√3

= 1500√3 m^2