Question 1185814
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The statement of the problem as shown is defective; there are an infinite number of right triangles that satisfy the given requirements.<br>
Let the longer leg be x; then the shorter leg is x-3.  The hypotenuse needs to be at least 15.<br>
{{{x^2+(x-3)^2>=15^2}}}
{{{x^2+x^2-6x+9>=225}}}
{{{2x^2-6x-216>=0}}}
{{{x^2-3x-108>=0}}}
{{{(x-12)(x+9)>=0}}}<br>
x is greater than 12 or x is less than -9.  Obviously the negative number makes no sense.<br>
ANSWER: the longer leg can be ANY length greater than 12 feet.<br>