Triangle Medians and Centroids
- Joseph Rudin III
Finding a median
What are the approximate coordinates of the midpoint of segment AB?
What are the approximate coordinates of the centroid?
Special Property of the Centroid
What do you notice about the area of each smaller triangle?
Recall that the area of a shape is the amount of space inside that shape. Based on this, what could we say the centroid is the center of?
Assume that the triangle portions all have a mass (similar to weight) that is distributed evenly across their entire area. Based on this, what could we now say the centroid is the center of? (*Hint, we could also call it the balancing point).