Originally Posted by

**McScruffy** Need some help with this one.

$\displaystyle \overline {PQ} $ and $\displaystyle \overline {SR} $ intersect two parallel lines, and each other at a point $\displaystyle T$ on the interior of the parallel lines. Point $\displaystyle R $ is $\displaystyle d $ units from $\displaystyle P $. How far from $\displaystyle Q $ should the point $\displaystyle S $ be so that the sum of the triangles $\displaystyle \triangle STQ $ and $\displaystyle \triangle PTR $ is a minimum?

I'm having some trouble with the setup. Any help would be appreciated.

Thanks.