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 :

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