ASSIGNMENT 4

CENTROID OF A TRIANGLE

Paula Whitmire

 

The centroid of a triangle is the common intersection of the three medians. A median of a triangle is the segment from a vertex to the midpoint of the opposite side.

The centroid cuts the median into a ratio of 2:1. Every median divides the triangle into two equal areas.

 

 

 

In the above triangle, the medians form three pairs of congruent triangles and three kite figures. Below , the sides were changed and the triangles and kites were formed but have different dimensions.

 

 

This triangle is obtuse and all of the triangles are not congruent.

 

The centroid is 2/3 the distance from any vertex to the midpoint of the other side.

Return