+129830 RT / TS = 2/5
So TS = ( 5) / (2 + 5) SR= (5/7)SR = (5/7)QP
Triangle SUT similar to triangle QUP
So height of SUP = (5/7) height of QUP
So VR = (5/7)QV
So QR = QV + VR = QV + (5/7)QV
So QR = (12/7)QV
So (7/12)QR = QV
So QV / QR = 7/12
And triangles QVU and QRS are similar
So
UV / QV = SR / QR
UV = QV * SR / QR =
UV = (QV / QR) * SR = (7/12) (20) = 140 / 12 = 35 / 3 = 11 + 2/3
