# SOLUTION: the hypotenuse of a right triangle exceeds the length of one leg by one, and is 3 less than 4 times the length of the other leg. Determine the length of each leg of the right tria

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 Question 637021: the hypotenuse of a right triangle exceeds the length of one leg by one, and is 3 less than 4 times the length of the other leg. Determine the length of each leg of the right triangle Answer by ewatrrr(10682)   (Show Source): You can put this solution on YOUR website! ``` Hi, Previously Posted the hypotenuse of a right triangle exceeds the length of one leg by 1 and is 3less than 4 times the length of the other leg. Question states*** hypotenuse can be expressed in two ways... x + 1 = 4y-3 Or Using the Pythagorean Theorem x^2 + y^2 = (4y-3)^2 + y^2 = (4y-3)^2 y^2 -8y +7 = 0 (y-7)(y-1) = 0, y = 7, x = 24 and hypotenuse is 25 ```