Question

Geometry The sides of a triangle are in the ratio 5 : 12 : 13. What is the length of each side of the triangle if the perimeter of the triangle is 15 inches

Answer 1

It is given that ,

Ratio of sides of a triangle are in the ratio 5 : 12 : 13.

Perimeter of the triangle is 15 inches.

Let , side of 1 st side is 5x .

So , length of other sides are 12x and 13x .

We know , perimeter is sum of all the sides .

P = 5x + 12x + 13x

P = 30x

It is given that the perimeter is 15 inches.

So , 30x = 15

x = 0.5 inches .

Therefore, the length of each side of the triangle is 2.5 , 6 and 6.5 inches.

Hence, this is the required solution.