A nice conjecture about the centroid of a triangle.

A simple conjecture is here proposed. Construct upon the three sides of a triangle three similar triangles ( Note: the orientation of the tree similar triangles should not be changed ). Then join the vertices of the tree triangles. Show that this triangle has the same centroid as the first triangle.

 

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Resource Type
Activity
Tags
angle  centroid  conjecture  euclidean  geometry  similarity  similarity-transformation  triangle 
Target Group (Age)
15 – 18
Language
English (United Kingdom)
 
 
GeoGebra version
4.2
Views
990
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