## Median Triangles

## by

## Bradley Johnson

Here we will look at the construction of a triangle given three segments that are the triangles medians. Given Three segments that are candidates for the medians of some triangle, we first construct the median triangle.From this we really have no where to go, unless we know that the centroid of the medial triangle is the midpoint of one of the triangles sides. Once we have this key component we are home free in the construction of our mystery triangle. Below the red triangle is the triangle constructed from the triangle of medians (ABC). G is the centroid of ABC as well as the midpoint of one side of the constructed side length.