in the diagram below, we have angle PQR = angle PRQ = angle STR = angle RST, Qr = 8, and QS = 2. Find PQ.
https://latex.artofproblemsolving.com/4/3/0/4302d19b0763e32ee077a4add3ad46f7bc977ea2.png
By similar triangles, PQ = 7*sqrt(2).