In a triangle, LMN, OP is a line segment drawn parallel to the side MN. OP intersects the sides LM and LN at O and P, respectively. If LM = 15 cm, OM = 4 cm, and PN = 5 cm, then what is the length (in cm) of the side LN?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 18.75.
LM = 15 cm, OM = 4 cm, and PN = 5 cm
Similarity of triangles
From the above figure, we get
Triangle LMN is similar to triangle LOP
⇒ LM/OM = LN/PN
⇒ 15/4 = LN/5
⇒ LN = 75/4 = 18.75