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hm.....until you guys gave me the answer, I didn't know what to do.
But I think I know how to prove.
Let's make the point, where line a and b meet, W.
If you look carefully, triangle PQW is similiar to triangle PQR.
Then, you can use the ratio to solve this problem by using statement 1 and statement 2 seperately (Triangle PQR is also similar to triangle QWR)
I used the pythagora's theory to get line PQ, not for the entire problem.
But...when can I solve this kind of problem without getting an answer? Bad...