Question

Does anyone know how to solve this? ​ I have to find lengths FJ, DM, and EM

Answer 1

Answer:

FJ= 24

DM= 16

EM= 18

Step-by-step explanation:

The centroid is twice as close along any median to the side that the median intersects as it is to the vertex it emanates from.

So in the case of FJ, the median intersects the side at point J and extends from vertex F. This means that FM is twice as long as MJ. It tells us that MJ is 8, so MF would be 16. Now because FJ is just FM+MJ, FJ is 24.

It also tells us that DK is 24, which means that DM+MK = 24. If DM is twice as long as MK, that would make MK equal to 8 and DM equal to 16

Similarily, EM would be twice as long as ML. It says that ML=9 so that would make EM=18