Question

The sides of a triangle are in the ratio 15:13:14 and its perimeter is 168 cm.Find the area of the triangle

Answer 1

Perimeter =Sum of the length of all the sides of the triangle
168cm=15x+13x+14x
168cm=32x
X=168/42
X=4cm
Sides of the triangle =15*4=60cm
13*4=52cm
14*4=56cm
Now area of the triangle by herons formula is
Root 84(84-60)(84-52)(84-56)
=root 84*24*32*28
=root 18,06,336
=1,344cm^2

Answer 2

let the sides of the triangle be 15x 13x and 14x
perimeter = 168cm
perimeter = sum of all sides of triangle
168cm= 15x+13x+14x
168cm=42x
x=168/42=4

15x= 15×4=60
13x= 13×4=52
14x= 14×4=54

hope it helps u in any way.