SOLUTION: The hypotenuse of a right triangle is 2cm more than the longer leg, while the longer leg is itself 2cm more than the shorter leg. Find the length of the hypotenuse.

Question 198711: The hypotenuse of a right triangle is 2cm more than the longer leg, while the longer leg is itself 2cm more than the shorter leg. Find the length of the hypotenuse.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Let

represent the measure of the longer leg, then

is the measure of the hypotenuse and

is the measure of the short leg

If we can believe our good friend Pythagoras,

Square both binomials and collect like terms and then solve the very simple resulting quadratic. One of the roots won't make any sense, so toss it. The other root is the measure of the long side. Add 2 to get the hypotenuse.

John

RELATED QUESTIONS
The Hypotenuse of a right triangle is 2cm more than the longer leg, while the longer leg... (answered by ankor@dixie-net.com)

Find the length of the sides of a right triangle if one leg is 1cm longer than the other... (answered by richwmiller)

In a triangle f, the shorter leg is 1 less than one-third of the longer leg while the... (answered by ikleyn)

the longer leg of a right triangle is 2cm less than twice the shorter leg.find the... (answered by benni1013)

One leg of a right triangle is 2cm longer than the other leg and 2 cm shorter than the... (answered by nerdybill)

The longer leg of a right triangle is 4 cm more than four times the length of the shorter (answered by nerdybill)

a piece of wire is bent into a right triangle the longer leg is 1 less than twice than... (answered by josgarithmetic)

One leg of a right triangle is 2 ft more than twice the other leg. The hypotenuse is 1... (answered by edjones)

The hypotenuse of a right triangle is nine more than the shortest leg. The longer leg is... (answered by scott8148)