SOLUTION: One leg of a right triangle exceeds the other leg by 4 inches. The hypotenuse is 20 inches. Find the length of a longer leg.

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: One leg of a right triangle exceeds the other leg by 4 inches. The hypotenuse is 20 inches. Find the length of a longer leg.       Log On


   



Question 1147595: One leg of a right triangle exceeds the other leg by 4 inches. The hypotenuse is 20 inches. Find the length of a longer leg.
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.

12, 16 and 20 inches.


Classic (3-4-5) Pythagorean right angled triangle.
Should be solved mentally in 5 seconds.


Algebra solution is also possible via equation


    x^2 + (x+4)^2 = 20^2.