SOLUTION: The hypotenuse of a right triangle measures 10 feet. The shorter leg measures 10 feet less than twice the length of the longer leg. How long is the shorter leg?

Question 189631: The hypotenuse of a right triangle measures 10 feet. The shorter leg measures 10 feet less than twice the length of the longer leg. How long is the shorter leg?
Answer by jonvaliente(64) (Show Source): You can put this solution on YOUR website!
Let x=length of the longer leg
hypotenuse=10 feet
shorter leg = 2x-10
Pythagorean theorem:

Subtracting 100 from both sides, we get:

Dividing both sides by 5x we get:

Adding 8 on both sides we get:

Shorter Leg = 2x-10 = 2*8-10=6 feet

RELATED QUESTIONS
The hypotenuse of a right triangle measures 10 feet. The shorter leg measures 10 feet... (answered by jojo14344)

The longer leg of a right triangle measures two feet more than twice the length of the... (answered by uday1435)

The longer leg of a right triangle measures two feet more than twice the length of the... (answered by CharlesG2)

find the area of a right triangle whose leg measures 6 feet and whose hypotenuse measures (answered by TimothyLamb)

The longer leg of a right triangle measures 5 inches less than the hypotenuse. The... (answered by scott8148)

Find the length of the shorter leg of a right triangle if the longer leg is 12 feet more... (answered by solver91311,stanbon)

Find the length of the shorter leg of a right triangle if the longer leg is 14 feet more... (answered by josgarithmetic)

Find the length of the shorter leg of a right triangle if the longer leg is 14 feet more... (answered by jorel1380)

The longer leg of a right triangle measures 2 feet more than twice the length of the... (answered by checkley77)