Question

N △JKL, KN=21 m.
What is the length of KX?

Answer 1

`KX = 14m`

Explanation:

To solve this problem, we need to use the theorem about the intersection of all three medians, which states

"The medians of a triangle concurrent at a point that is two-thirds from each vertex to the mid point at the opposite side".

If we apply this theorem, we have

`KX = (2)/(3)KN`

So, if
`KN = 21 m`

Then,

`KX = (2)/(3)21m=14m`

Therefore,

`KX = 14m`

Answer 2

KX = 2/3(21)

KX = 14 m