Question 1124373
the sum of the length of the longer leg of a right triangle and 4 equals the length of the hypotenuse.  The shorter leg is 4 inches shorter than the longer leg.  Find the length of the longer leg.
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a = longer leg, b = shorter. c = hypotenuse
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b = a-4
c = a+4
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(a-4)^2 + a^2 = (a+4)^2
2a^2 - 8a + 16 = a^2 + 8a + 16
a^2 - 16a = 0
a = 16