Question

The perimeter of a triangle is 288 m and the ratio of the sides is 3:4:5. Find the area of the triangle

Answer 1

perimeter of a triangle=sum of all the sides

288=3x+4x+5x

288=12x

x=24

so, all sides are

3x=3×24=72

4x=4×24=96

5x=5×24=120

s=perimeter/2

s=144

by applying heron's formula,

area=√[144(144-72)(144-96)(144-120)]

=√[144×72×48×24]

=√[25380864]

=5037.94244 m²