Euler Line (Informal Investigation)

Applet contains a modifiable triangle with the [color=#c51414]circumcenter[/color], [color=#0a971e]centroid[/color], and [color=#1551b5]orthocenter[/color] shown. The slopes of three segments (one connecting the [color=#c51414]circumcenter[/color] to the [color=#1551b5]orthocenter[/color], one connecting the [color=#c51414]circumcenter[/color] to the [color=#0a971e]centroid[/color], and the remaining connecting the [color=#1551b5]orthocenter[/color] to the [color=#0a971e]centroid[/color]) are shown. From this, students are given leading questions to help them informally discover that these 3 points are always collinear.

 

Tim Brzezinski

 
Target Group (Age)
12 – 15
Language
English
 
 
 
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