IN △ACE, G is the centroid and be =15. BE is a median, Find BG and GE.
In a triangle, the centroid is a point of intersection of all three medians. This means that in triangle ACE, G is the point where the medians BE, CF, and AD intersect.
Since BE is a median, it divides side AC into two equal segments. Let's call these segments AE and EC. So, AE = EC.
Now, let's find the lengths of BG and GE.
Since G is the centroid, it divides each median into the ratio 2:1. This means that BG is two-thirds of BE and GE is one-third of BE.
Given that BE = 15, we can find BG and GE as follows:
BG = (2/3) * BE
BG = (2/3) * 15
BG = 10
GE = (1/3) * BE
GE = (1/3) * 15
GE = 5
Therefore, BG = 10 and GE = 5.