Question 184
The side $AD$ of the trapezoid $ABCD$ is perpendicular to the bases $AB$ and $CD$. The side lengths of this trapezoid are $|AB|=2~\mathrm{cm}$, $|CD|=8~\mathrm{cm}$ and $|AD|=10~\mathrm{cm}$. Calculate the distance of the intersection $S$ of the diagonals from the base $AB$.