Question

The length of three sides of a triangle are in the ratio 3:4:5. If the perimeter of triangle is 192m, find area of triangle.

Answer 1

Answer:

let sides of triangle of x

3x , 4x ,5x

perimeter = 192m

3x+4x+5x= 192m

12x= 192m

x= 192/12

x=16m

a = 3x = 3×16 = 48m

b= 4x = 4×16 = 64m

c = 5x = 5×16 = 80m

using heron's formula

$\sqrt{s(s - a)(s - b)(s - c)}$

s= a+b+c/2

s= 96m

$\sqrt{96(96 - 48)(96 - 64)(96 - 80)}$

$\sqrt{96 \times 48 \times 32 \times 16}$

1536m ans