+129852 Triangle PUQ similar to Triangle TUS
ST = (5) / (2 + 5) * 20 = 100/7
So ST / QP = (100/7) / 20 = 100 /140 = 10/14 = 5/7
Therefore altitude of PUQ = QV
And altitude of TUS = VR
Therefore VR / QV = 5/7
Therefore QV = (7/12) QR
And triangles QUV and QSR are similar
Therefore UV = (7/12)SR = (7/12) (20) = 140/12 = 35 / 3
