**The centroid
of a triangle is the common intersection of three medians.**

**A median of a
triangle is a segment whose endpoints are a vertex of the triangle and the midpoint of the
opposite side.**

**For example in
triangle ABC, D is the midpoint of the side BC. So AD is a median
of the triangle.**

**The three medians
of a triangle are concurrent. The point of concurrency is called
the centroid.**

**Will the median
always fall inside the triangle? Lets look at a three triangles.
**

**If you have GSP
then click here for an animation of the
centroid of a triangle.**

**The medians of
a triangle intersect at a point that is two thirds of the distance
from each vertex to the midpoint of the opposite side.**

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Weaver's Home Page**