RT TQ RU US proportionally third side TU QS

Triangle Proportionality Theorem 10 12 6 60 12 5

27 23 31 19 27 23 31 19

KL KJ LM MN = 18 x 44 24 x = 33 PQ QR PT TS 18 38 36 80 = 9 19 20 ≠ QT is not parallel to RS because the segments aren't proportional.

Proportional Segments Theorem proportionally VX XZ Triangle Angle Bisector Theorem proportional CA CB

CB + BA DE + EF 2000 3000 + 2500 2500 5500 2500 2000 4400 2000

14 - x 14 - x 12 8 or 3 2 3 28 2 5.6

x 27 32 24 4 3 = or 3x = 108 x = 36 = 1 x √2 x = √2