Median Theorem

The median of a triangle is a line segment from a triangles vertex to the midpoint of the opposite side.[br][br]The medians of triangle ABC all intersect at what point?

A B C M

Select "Median A".[br][br]Compare the distance from A to M and M to the midpoint of the opposite side (BC).[br][br]What do you notice?[br][br]Is this observation true for median B and median C?

What conclusions can be made based on this exploration?

The point where the medians intersect is 2/3 of the way from the vertex to the midpoint of the opposite side The point where the medians intersect divides the median is a ratio of 1:2 The medians of a triangle meet at a point The point where the medians intersect is 1/3 of the way from the vertex to the midpoint of the opposite side The point where the medians intersect divides the median is a ratio of 2:1

Median Theorem

Information: Median Theorem