Find the exact distance between the midpoint of the line segment from point $\displaystyle {A}$ to the $\displaystyle {x}$-axis and the midpoint of the line segment from point $\displaystyle {A}$ to the $\displaystyle {y}$-axis given the point $\displaystyle {A}$ to be $\displaystyle {\left({20},{5}\right)}$. Be sure to simplify your solution completely.