document.write( "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
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Algebra.Com's Answer #401358 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Hi, Previously Posted
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document.write( "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. 
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document.write( "Question states*** hypotenuse can be expressed in two ways...
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document.write( " x + 1 = 4y-3    Or    
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document.write( "Using the Pythagorean Theorem
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document.write( "  x^2 + y^2 = (4y-3)^2
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document.write( " + y^2 = (4y-3)^2
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document.write( " y^2 -8y +7 = 0
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document.write( "(y-7)(y-1) = 0,
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document.write( "  y = 7, x = 24 and hypotenuse is  25     \n" );
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