SOLUTION: A right triangle has one leg that is 5 centimeters longer than the other leg. The hypotenuse is 25 centimeters long. Find the length of each leg of the triangle.

Algebra ->  Pythagorean-theorem -> SOLUTION: A right triangle has one leg that is 5 centimeters longer than the other leg. The hypotenuse is 25 centimeters long. Find the length of each leg of the triangle.      Log On


   

Question 36862This question is from textbook Algebra I
: A right triangle has one leg that is 5 centimeters longer than the other leg. The hypotenuse is 25 centimeters long. Find the length of each leg of the triangle. This question is from textbook Algebra I

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
X~2+(X+5)~2=25~2 OR X~2+X~2+10X+25=625 OR 2X~2+10X-600=0 OR X~2+5X-300=0 OR
(X-15)(X+20)=0 OR X=15 & X=-20
PROOF 15~2+20~2=625 OR 225+400=625 OR 625=625