SOLUTION: One leg of a right triangle has a length of 5 m. The other sides have lengths that are consecutive integers. Find these lengths. The other leg is ____ m The length of the hy

Algebra ->  Length-and-distance -> SOLUTION: One leg of a right triangle has a length of 5 m. The other sides have lengths that are consecutive integers. Find these lengths. The other leg is ____ m The length of the hy      Log On


   

Question 848349: One leg of a right triangle has a length of 5 m. The other sides have lengths that are consecutive integers. Find these lengths.
The other leg is ____ m
The length of the hypotenuse is ____ m
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x and y are integers.
y-x=1

If 5%3Cx, then the hypotenuse is y.

5%5E2%2Bx%5E2=y%5E2 and y-x=1

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Solve for one of the variables using the linear equation, substitute into the hyperbolic equation and solve for the single variable in it. Return to the linear equation to solve for the next variable.