Question

➡️The lengths of the sides of a 🔺^le are in the ratio 4:5:3 it's perimeter is 96cm. Find it's area.

Answer 1

Let the side of the triangle be x

that becomes,
4x, 5x and 3x respectively

we know that,

4x+5x+3x = 96
12x=96
x= 96/12
x=8

the side now are a=32, b=40 and c=24 respectively.

the semi perimeter is s=48 (96/2)

now the area by heron's formula,

√s(s-a)(s-b)(s-c)

= √48*16*8*24

=√​147456

=384m^2