SOLUTION: In the diagram below, point P is the centroid of ΔABC. http://imageshack.us/photo/my-images/441/centriod.png/ If PM=2x+5 and BP=7x+4, what is the length of PM?

Question 737525: In the diagram below, point P is the centroid of ΔABC.
http://imageshack.us/photo/my-images/441/centriod.png/
If PM=2x+5 and BP=7x+4, what is the length of PM?
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

A fascinating fact is that the centroid is the point where the triangle's medians intersect, and the centroid is the way along each median.
If and , then
......solve for

so, the length of will be

and

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SOLUTION: In the diagram below, point P is the centroid of &#916;ABC. http://imageshack.us/photo/my-images/441/centriod.png/ If PM=2x+5 and BP=7x+4, what is the length of PM?

SOLUTION: In the diagram below, point P is the centroid of ΔABC. http://imageshack.us/photo/my-images/441/centriod.png/ If PM=2x+5 and BP=7x+4, what is the length of PM?