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) (Show Source):
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
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it