SOLUTION: Shorter leg of a right triangle is 7ft shorter than the longer leg. The hypotenuse is 7ft longer than the longer leg. Find the side lengths of the triangle. I cant seem to ge

Question 1013986: Shorter leg of a right triangle is 7ft shorter than the longer leg.
The hypotenuse is 7ft longer than the longer leg.
Find the side lengths of the triangle.
I cant seem to get my head around this.
(x-7^2)+(x+7^2)=?? Sorry, pretty fresh to this.
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

Shorter leg of a right triangle is 7ft shorter than the longer leg.
The hypotenuse is 7ft longer than the longer leg.
Find the side lengths of the triangle.
I cant seem to get my head around this.
(x-7^2)+(x+7^2)=?? Sorry, pretty fresh to this.

Let the length of the longer leg, be L

Then the length of the shorter leg is: L - 7, and length of hypotenuse is: L + 7 

Using Pythagorean theorem: , we get: 

Can you now solve this for L, the longer leg, and subsequently, the shorter leg and the hypotenuse?

If not, say so, and you might get further help! 

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