Question

The sides of
a triangle
in the ratio 2: 3:4 if the

Perimeter is 108m, find the area of the
triangle​

Answer 1

Answer:

hope it will help you.....

Step-by-step explanation:

let side be 2x, 3x, 4x

perimeter of triangle= 108m

=> a+b+c= 108

2x+3x+4x=108

9x=108

x=108/9

x=12

side of triangle are =

a= 2x= 2×12 = 24m

b= 3x= 3×12 = 36m

c= 4x= 4×12 = 48m

by heron's formula,

s = (a+b+c)/2

= (24+36+48)/2

= 108/2

= 54

area = √s(s-a)(s-b)(s-c)

= √54(54-24)(54-36)(54-48)

= √54×30×18×6

= 418.2m^2