In the diagram below, we have \(\angle PQR = \angle PRQ = \angle STR = \angle RST\), $QR = 8$, and $QS = 2$. Find $PQ$.
Here is a hint: Can you prove triangle QPT and RQS similar? If so, you can use proportions to solve!
I just can't find a way to use proportions to solve it!
By similar triangles, PQ = 8*sqrt(2).