Question

the perimeter of a triangle is300m. if it's sides are in ratio 3:5:7 find the area of the triangle

Answer 1

let the unit of ratio =x
therefore sides=3x,5x,7x
or the perimeter of the triangle =300m
or 3x+5x+7x=300
or 15x=300
or x=300÷15=20m
therefore sides =3×20,5×20,7×20
=60,100,140
the area of the triangle
= root under s(s-a)×(s-b)×(s-c)
=root under 150×(150-60)×(150-100)×(150-140)
=root under 150×90×50×10
=2598 m^2