SOLUTION: The hypotenuse of a right triangle is 37 cm. long one leg is 23 cm. longer than the other. Find the length of the legs

Algebra ->  Pythagorean-theorem -> SOLUTION: The hypotenuse of a right triangle is 37 cm. long one leg is 23 cm. longer than the other. Find the length of the legs       Log On


   

Question 901277: The hypotenuse of a right triangle is 37 cm. long one leg is 23 cm. longer than the other. Find the length of the legs
Answer by harpazo(655) About Me  (Show Source):
You can put this solution on YOUR website!
I will set up your equation and you can solve for x.
Ready?
The hypotenuse is 37.
One leg is x and the other leg is x + 23.
Use (leg)^2 + (leg)^2 = (hypotenuse)^2

x^2 + (x + 23)^2 = (37)^2
Can you finish?