Question 1103747
{{{L^2+(L+14)^2=(L+16)^2}}}
{{{L^2+L^2+28L+196=L^2+32L+256}}}
{{{L^2-4L-60=0}}}
{{{(L-10)(L+6)=0}}}
Only positive L makes sense in this problem.
{{{L=10}}}
Now find the other lengths.