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A Median in a triangle is the line that connects a vertex to the midpoint of the opposing side.
#1)# Each triangle has three Medians.
#2)# Medians intersect at a point called the Centroid of the triangle.
#3)# The Centroid divides each median into two segments that have the ratio of #2:1#, i.e. the distance between the vertex and the Centroid is twice the distance from the Centroid to the midpoint of the side opposing the vertex.
#4)# The Centroid divides a triangle into six smaller triangles that have equal areas.
#5)# The length of the Medians can be calculated using the Apollonius Theorem. The formulas are:
#1)# The Right Bisector is a vertical line that is perpendicular to the side of the triangle at the midpoint of the side.
#2)# Each triangle has three Right Bisectors.
#3)# They meet at one point called the Circumcenter of the triangle.
#4)# This point has equal distance from the three vertices of the triangle.
#5)# This point is the center of a circle that passes through all three vertices.
