Question

In triangle ACE, G is the centroid and BG = 5. What is GE?

a) 7 1/2
b) 5
c) 11 1/4
d) 10

Answer 1

To find the length of GE in triangle ACE, use the property of the centroid which divides each median into a 2:1 ratio.

Step-by-step explanation:

To find the length of GE, we can use the property of a centroid which states that the centroid divides each median into the ratio 2:1. This means that BG:GE = 2:1.

Given that BG = 5, we can set up the following equation:

5:GE = 2:1

Cross-multiplying, we get:

5*1 = GE*2

Simplifying, GE = 5/2 = 2.5.

Therefore, GE is equal to 2.5.