Question

PLEASE HELP! GEOMETRY. I'M LOST! O.o

LO bisects ∠NLM, LM=18, NO=4, and LN=10
What is the value of x?
A. 7.2
B. 45
C. 5.43
D. 2.22

Answer 1

Answer:

Step-by-step explanation:

Alright, lets get started.

Please refer the diagram I have attached.

The diagram refers the angle bisector theorem.

Hence using this theorem in our given diagram:

$\frac{LM}{LN}=\frac{x}{ON}$

$\frac{18}{10}=\frac{x}{4}$

Cross multiplying,

$x=4*1.8 = 7.2$

Hence the answer is 7.2      :   Answer (A)

Hope it will help :)