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 triangke is 15 inches

Let x be the common ratio / or scale factor

the sides of the triangle are

5x, 12x and 13x

sum of the sides defines perimeter

that is

5x + 12x + 13x = 15

30x = 15

x = 15/30

x = 0.5

The sides of the triangle are 0.5 (5) = 2.5

0.5 (12) = 6

0.5 (13) = 6.5

2.5, 6, 6.5 all in inches