The proportion between the hypotenuse of a right triangle and one of its legs is 13/12 and the other leg is 15 cm long.

Question

Please find the perimeter of the triangle.

Answer 1

Let c = hypotenuse, 15 = b, and a = other leg

Given: c/a = 13/12, so a = 12c/13.

Using Pythagorean Theorem: c² = 225 + 144c²/169.

 

169c² = 169(225) + 144c²

25c² = 169(225)

5c = 13(15)

c = 13(3) = 39.

 

You now can compute all three sides, and thus obtain perimeter = 90.