SOLUTION: The area of a right triangle is 6m^2. One leg is 6.5m longer than the other. Find the lengths of the legs.

Algebra ->  Angles -> SOLUTION: The area of a right triangle is 6m^2. One leg is 6.5m longer than the other. Find the lengths of the legs.      Log On


   



Question 1056954: The area of a right triangle is 6m^2. One leg is 6.5m longer than the other. Find the lengths of the legs.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The area of a right triangle is 6m^2. One leg is 6.5m longer than the other. Find the lengths of the legs.
----------
b = h+6.5
---
Area = b*h/2 = 6
--
h*(h+6.5) = 12
h^2 + 6.5h - 12 = 0
Solve for h