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 :
Answer & explanation
Correct answer: option 3
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