Question

In triangle JKL, point Y is the centroid. If JY is 22 feet, what is the length of the median that comes from vertex J?

Answer 1

The length of the median that comes from vertex J is
`33\ ft`

Explanation:

we know that

The centroid is the point where all 3 medians intersect. The centroid divides each median in a ratio of 2:1

so

In this problem

see the attached figure to better understand the problem

`JY=(2)/(3)JM`

we have

`JY=22\ ft`

substitute and solve for JM

`22=(2)/(3)JM`

`JM=22*3/2=33\ ft`