Question

The length of the longer leg of a right triangle is 4inches more than twice the length of the shorter leg. the length of the hypotenuse is 6inches more than twice the length of the shorter leg. find the side lengths of the triangle.

Answer 1

l2=x
l1=2x+4
g=2x+6
x²+(2x+4)²=(2x+6)²
x²+4x²+16x+16=4x²+24x+36
x²+16x+16-24x-36=0
x₂-8x-20=0

x₁=-2  that root is impossible as it negative
x₂=10 inches
Short leg equal to 10 inches
longer leg equal to 24 inches
hypotenuse equal to 26 inches