sin\alpha=\frac{2*a*b}{a^2+b^2}=\frac{2*12*4}{160}=0,6" alt="\begin{cases}a+b=16\\a*b=48\end{cases}\\a=12;b=4\\\\S=a*b=0.5*d^2*sin\alpha\\d^2=a^2+b^2\\a*b=\frac{(a^2+b^2)sin\alpha}{2}=>sin\alpha=\frac{2*a*b}{a^2+b^2}=\frac{2*12*4}{160}=0,6" align="absmiddle" class="latex-formula">