When do a triangle and its Morely triangle have the same centroid

Question

When do a triangle and its Morley triangle have the same centroid? For definition of the Morley Triangle see

https://en.m.wikipedia.org/wiki/Morley's_trisector_theorem#Morley.27s_triangles

When and only when the original triangle is equilateral (as with the coincidence of most triangle centres). You could prove this with trilinear coordinates if you wish — Henry, Apr 03 '20 at 13:00

score 1 · Answer 1 · answered Nov 21 '16 at 09:37

1

answered Nov 21 '16 at 09:37

+1 for the interesting link, in particular for the information on second Morley center. However it does not contain my answer. – Ali Taghavi Nov 27 '16 at 18:23

1 Answers1