Please don't post AoPS questions (or at least spam them).
Use the Message Board, or ask a friend! Only if you really need the answer, ask for hints.
PQR and PST are similar. PQ + QS = 14, and PQ = 8, so PQ is 8/14, or 4/7, the length of PS.
Same proportion for PT. PT is 10.5, and PR is 4/7 of that length. Can you find out from here?