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.