573589
contestada

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?

Respuesta :

Answer:

The length of the median that comes from vertex J is [tex]33\ ft[/tex]

Step-by-step 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

[tex]JY=\frac{2}{3}JM[/tex]

we have

[tex]JY=22\ ft[/tex]

substitute and solve for JM

[tex]22=\frac{2}{3}JM[/tex]

[tex]JM=22*3/2=33\ ft[/tex]

Ver imagen calculista