Question

The perimeter of a triangular ground is 900 m and its sides are in the ratio 3:5:4. Using Heron’s formula find the area of the ground?

Answer 1

Answer:

Step-by-step explanation:

let the side be 3x , 5x , 4x

BTQ

3x + 4x + 5x = 900

12x = 900

x = 900/12

x = 75

then the sides will be

225, 375, 300

Apply the Heron's formula by your self

Hope it helps .

Answer 2

Answer:

Step-by-step explanation:

Let x be included in the ratios:-3x,5x and 4x

Semi perimeter=perimeter/2=900/2=450

s=a+b+c/2

=>450=3x+5x+4x/2

=>450×2=12x

=>x=450×2/12

=>x=75

a=3x=3×75=225

b=5x=5×75=375

c=4x=4×75=300

Area of ∆=√s(s-a)(s-b)(s-c)

=>√450(450-225)(450-375)(450-300)

=>√450×225×75×150

=>√2×9×25×9×25×75×2×75

=>2×9×25×75

=>33,750m^2