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(24785)   (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
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