Algebra 1 help please

Find the lengths of each side of the following right triangles. Show all calculations.

1. In triangle A, the longer leg is 6 more than the shorter leg and the hypotenuse is 6 more than the longer leg.

Short leg =_? Long leg =_? Hypotenuse=_?

Answer :

Short leg = 18 Long leg= 24 Hypotenuse= 30 My calculations were simple trial and error. I started with a trial of 10 for the short leg to begin with, averaging and estimating the appropriate proportions based off 6 additional increments. Sorry I don't have an algebraic method for you. Hope this has helped somewhat :)

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