Question 946568
{{{A=(1/2)BH}}}
{{{48=(1/2)(X)(X+4)}}}
{{{X^2+4X=96}}}
{{{X^2+4X-96=0}}}
{{{(X+12)(X-8)=0}}}
We only need the positive solution.
{{{X-8=0}}}
{{{X=8}}}
So the legs are 8 and 12cm long.