Question

IM HOMESCHOOLED AND I NEED SOME HELP WITH THIS QUESTION. ANYONE PLEASE HELP. my teacher won’t help me :(

Answer 1

GI = 18; GE = 12; IE = 6

Explanation:

The key to the question is to realize or find out what a centroid is and what it does. You can solve this question by knowing three things.

1. The centroid is the meeting point of the three medians ( a median is a line that connects the midpoint of the side opposite a given vertex).
2. The centroid divides the median in a ratio of 2:1. The longest segment is from the vertex to the centroid.
3. The shortest segment is from the centroid to the midpoint of the side opposite the given vertex.

Point two is what you have to focus on.

GE/EI = 2/1

GE = 12 Given

Solution

GE / EI = 2/1 Substitute for the given

12 / EI = 2/1 Cross multiply

2*EI = 12 * 1 Simplify the right

2 * EI = 12 Divide by 2

EI = 12/2 Divide

Part Two

GI = EI + GE

GI = 6 + 12

GI = 18

EI = 6