SOLUTION: the hypotenuse of a right triangle is 6 more than the shorter leg. the longer leg is three more than the shorter leg . find the length of shorter leg. using pythagorean theorem th

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Question 736083: the hypotenuse of a right triangle is 6 more than the shorter leg. the longer leg is three more than the shorter leg . find the length of shorter leg. using pythagorean theorem thank you so much for your help !
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let represent the measure of the short leg. Then the measure of the long leg is and the measure of the hypotenuse is . Then:



Expand the binomials, collect like terms in the LHS setting the RHS to zero, and solve the resulting quadratic equation for . Discard the extraneous negative root.

John

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