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Mathematics 21 Online
OpenStudy (anonymous):

You are looking at a triangle where the orthocenter, the centroid, and the circumcenter are all the same point. What type of triangle are you looking at? a) equilateral b) scalene c) isosceles d) right

OpenStudy (amistre64):

i doubt its scalene

OpenStudy (amistre64):

i was wanting to say equi but im not to sure i recall ill those centery things

OpenStudy (anonymous):

a) equilateral

OpenStudy (amistre64):

wheres a book of euclids elements when you need one :)

OpenStudy (anonymous):

@amistre64 Thaks for confirm my memory :)

OpenStudy (anonymous):

why?

OpenStudy (amistre64):

the why would be in the definitions for those centery things

OpenStudy (amistre64):

draw an equi and see if it fits the bill

Directrix (directrix):

In the case of an equilateral triangle, the incenter, circumcenter and centroid all occur at the same point. Interesting that the orthocenter is not mentioned in the problem.

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