SOLUTION: 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? Show your work.

Algebra ->  Triangles -> SOLUTION: 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? Show your work.      Log On


   



Question 1151744: 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? Show your work.
Answer by MathLover1(20850) About Me  (Show Source):
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In triangle JKL, point Y is the centroid. .
note: The centroid of a triangle is the point of intersection of its medians (the lines joining each vertex with the midpoint of the opposite side).
The centroid divides+each of the medians in the ratio 2%3A1, which is to say it is located 1%2F3 of the distance from each side to the opposite vertex .
let the midpoint of side KL be M, then the median is JM with point Y on it
if JY is 22 feet, what is the length of the YM will be:
22%3AYM=2%3A1
2YM=22
YM=11
then, the length of the median that comes from vertex J is:
JM=JY%2BYM
JM=22%2B11
JM=33 ft