5.13: Centroid & Orthocenter of a Triangle
Locate the Centroid of a Triangle:
#1
Where is the point of concurrency for all triangles?
#2
Use the length tool to find the lengths from the centroid to each vertex and from the centroid to each side. What is the relationship between the 2 segments? Write the ratio.
Locate the Orthocenter of a Triangle:
# 3
When is the orthocenter on the triangle?
# 4
Where is it located for a right triangle?
Play with the applet below and answer the following question.
#5
What kind of triangle puts all four points of concurrency at the same point?