# Median and centroid of a triangle.

- Author:
- Zawierucha, Mathguru

- Topic:
- Centroid or Barycenter, Ratios, Triangles

## Thm: median length of a ∆ and the length of the segments created by the centroid

## Observe/Explore

## MC

1. When a centroid divides a median into two segments, the ratio of the shorter segment's length to the longer segment's length will always be a______

## MC

2. When a centroid divides a median into two segments, the ratio of the median's length to shorter segment's length will always be a ______

## MC

3. When a centroid divides a median into two segments, the ratio of the longer segment's length to the median's length will always be ______

## fill-in

4. If the shorter segment of a median, created by the centroid, is 7.5 inches, then the longer segment is _____ inches.

## fill-in

5. If the longer segment of a median, created by the centroid, is 5/8 inches, then the shorter segment is _____ inches.

## fill-in

5. If a median of a ∆ is 12 inches long, then the shorter segment, created by the centroid, is _____ inches and the longer segment is ________ inches.