SOLUTION: In a triangle f, the shorter leg is 1 less than one-third of the longer leg while the hypotenuse is 1 more then the longer leg

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Question 998362: In a triangle f, the shorter leg is 1 less than one-third of the longer leg while the hypotenuse is 1 more then the longer leg
Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
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In a triangle f, the shorter leg is 1 less than one-third of the longer leg while the hypotenuse is 1 more then the longer leg.
Find the measures of the legs and the hypotenuse.
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%28x%2F3-1%29%5E2 + x%5E2 = %28x%2B1%29%5E2,  (x is the shorter leg measure)


x%5E2%2F9 - %282%2F3%29x + 1 + x%5E2 = x%5E2+%2B+2x+%2B+1, -----> multiply by 9 both sides ----->


x%5E2+-+2%2A3x+%2B+9 + 9x%5E2 = 9x%5E2+%2B+18x+%2B+9, 


x%5E2+-+24x = 0,


x = 24.


Check that the solution is correct.