SOLUTION: The larger leg of a right triangle is 14 cm longer than its smaller leg. The hypotenuse is 16 cm longer than the smaller leg. How many centimeters long is the large leg?

Algebra ->  Pythagorean-theorem -> SOLUTION: The larger leg of a right triangle is 14 cm longer than its smaller leg. The hypotenuse is 16 cm longer than the smaller leg. How many centimeters long is the large leg?      Log On


   

Question 1103747: The larger leg of a right triangle is 14 cm longer than its smaller leg. The hypotenuse is 16 cm longer than the smaller leg. How many centimeters long is the large leg?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
L%5E2%2B%28L%2B14%29%5E2=%28L%2B16%29%5E2
L%5E2%2BL%5E2%2B28L%2B196=L%5E2%2B32L%2B256
L%5E2-4L-60=0
%28L-10%29%28L%2B6%29=0
Only positive L makes sense in this problem.
L=10
Now find the other lengths.