Question

MN and KL are parallel. If JM=9, MK=45, and LN=40, what is NJ?

Answer 1

Answer: NJ = 8

Step-by-step explanation:

Given: In triangle JKL , MN is a line segment parallel to KL intersects the other sides into two distinct points at M and N.

The basic proportionality theorem says that a line is parallel to a side of a triangle which intersects the other sides into two different points then the line divides those sides in proportion.

So by basic proportionality theorem we have :-

$\frac{JM}{MK}=\frac{NJ}{LN}\\\\\Rightarrow\frac{9}{45}=\frac{NJ}{40}\\\\\Rightarrow NJ=\frac{40}{5}\\\\\Rightarrow NJ=8$