Equilateral Triangle Centers. Prove that if a triangle is equilateral, then its centroid, circumcenter, and orthocenter are all the same point.

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter7: Locus And Concurrence
Section7.2: Concurrence Of Lines
Problem 7E: Which lines or line segments or rays must be drawn or constructed in a triangle to locate its...
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Solve using euclid geometry. Prove the following theorems. Include helpful diagrams. 

Equilateral Triangle Centers. Prove that if a triangle is equilateral, then
its centroid, circumcenter, and orthocenter are all the same point.
Transcribed Image Text:Equilateral Triangle Centers. Prove that if a triangle is equilateral, then its centroid, circumcenter, and orthocenter are all the same point.
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