#### Answer

21$\frac{27}{32}$ in

#### Work Step by Step

Let perimeter of the triangle is 59$\frac{9}{32}$ in , the length of one side is 19$\frac{5}{8}$in and length of second side is 17$\frac{13}{16}$ in
therefore the length of the third side = Perimeter – length of one side – length of seond side
= 59$\frac{9}{32}$ - 19$\frac{5}{8}$ - 17$\frac{13}{16}$
=$\frac{1897}{32}$ - $\frac{157}{8}$ - $\frac{285}{16}$
= $\frac{1897}{32}$ - $ \frac{157}{8} \times$ $\frac{4}{4}$ - $ \frac{285}{16} \times$ $\frac{2}{2}$
=$\frac{1897}{32}$ - $\frac{628}{32}$ - $\frac{570}{32}$
$\frac{699}{32}$
=21$\frac{27}{32}$ in