Euler Line (Informal Investigation)
- Tim Brzezinski
Recall the following: The circumcenter of a triangle is the point of concurrency (intersection) of a triangle's 3 perpendicular bisectors. The centroid of a triangle is the point of concurrency of a triangle's 3 medians. The orthocenter of a triangle is the point of concurrency of the lines that contain the triangle's 3 altitudes. Check out the applet below. Be sure to move the vertices of the black triangle around. What do you notice? What does this observation imply about these 3 points? Is this observation always true even when you change the location of the triangle's 3 vertices?
See questions above applet.