A centroid separates a median into two segments. Which of the following is the ratio of the length of the shorter segment to the length of the longer segment?
A. 1 colon 2
B. 1 colon 3
C. 2 colon 3
D. 2 colon 5
B. 1 colon 3
no
oops, read that wrong.
shorter : whole length = 1 : 3
To find the ratio of the length of the shorter segment to the length of the longer segment in a median, we need to understand the properties of a centroid.
A centroid is the point where the three medians of a triangle intersect. A median is a line segment drawn from a vertex to the midpoint of the opposite side. It divides the side into two segments.
The most important property of a centroid is that it divides each median into two segments such that the ratio of the lengths of the segments is 2:1. This means that the longer segment is twice as long as the shorter segment.
Therefore, the correct answer is:
D. 2 colon 5
The length of the shorter segment is 2 parts and the length of the longer segment is 5 parts.