Question

In a right triangle, the longer leg is 3 cm longer than three times the shorter leg. The hypotenuse is 1 cm longer than the longer leg. What is the perimeter of the rectangle? HELPP PLEASE

Answer 1

Shorter leg = x
Longer leg = 3x + 3
Hypotenuse = 3x + 4

x^2 + (3x + 3)^2 = (3x + 4)^2

x^2 + (9x^2 + 18x + 9) = (9x^2 + 24x + 16)

x^2 - 6x - 7 = 0

(x - 7)(x + 1) = 0

x = 7 or -1

Disregard -1

x = 7

Sides are 7, 24, and 25