In △DEF, M and N are the points on sides DE and DF, respectively. MN is parallel to EF and MN: EF = 2: 5. If DE = 60 cm, then what is the length of ME?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 36 cm.
MN || EF
ΔDMN ∼ ΔDEF
DM/DE = DN/DF = MN/EF
⇒ DM/60 = 2/5
⇒ DM = 2 × 12 = 24 cm
⇒ ME = DE - DM = 60 - 24 = 36 cm