In ΔXYZ, L and M are the middle points of the sides XY and XZ respectively.  R is a point on the segment LM, such that LR : RM = 3 : 5.  If LR = 9 cm, then YZ is equal to?

24 48 16 8

48

LR = 3x = 9 cm LM = 8x = 24 cm YZ = 2 LM = 48 cm \(\frac{XL}{XY}\) = \(\frac{XM}{XZ}\) = \(\frac{LM}{YZ}\) = \(\frac{1}{2}\) (mid point theorem)