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 = 1 : 2. If LR = 3 cm, then YZ is equal to :

19 cm 17 cm 18 cm 16 cm

18 cm

We have, LR : RM = 1 : 2 According to the question,, If, LR = 3 then, LM = 3 × 3 = 9 We also know that, LM : YZ = 1 : 2 Now, If, LM = 9 then, YZ = 9 × 2 = 18 cm