Question

What is the value of k?

Answer 1

k = 2

Explanation:

ΔOLN and ΔONM are similar. Therefore the sides are in proportion:

`(OL)/(ON)=(ON)/(OM)`

We have:

OL = 8

ON = 4

OM = k

Substitute:

`(8)/(4)=(4)/(k)` cross multiply

`(8)(k)=(4)(4)`

`8k=16` divide both sides by 8

`k=2`