SOLUTION: One leg of a right triangle has length 20 in. The other leg is 10 in. less than the length of the hypotenuse. Find the lengths of the leg and the hypotenuse.

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Question 276793: One leg of a right triangle has length 20 in. The other leg is 10 in. less than the length of the hypotenuse. Find the lengths of the leg and the hypotenuse.
Found 2 solutions by nyc_function, solver91311:
Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = length of hypotenuse
Let (x - 10) = second leg of triangle
Here is your equation:
(20)^2 + (x - 10)^2 = x^2
Can you finish now?
nycfunction@yahoo.com
Guido

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let represent the measure of the hypotenuse. Then the measure of the unknown leg is . Using Pythagoras:



Just solve for

John