Question 360165
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Hi,
Let x represent the shorter side.  then (x+1) is the other leg and the hypothenuse is (x+4)
Applying the Pythagorean Theorem
x^2 +(x+1)^2 = (x+4)^2
solving for x
x^2 + x^2 +2x + 1 = x^2 + 8x + 16
x^2 -6x + -15
Using Quadratic Equation to Solve
{{{x = (-6 +- sqrt( 96 ))/(2) }}}