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Let ABC be any triangle. Equilateral triangles BCX , ACY , and BAZ are constructed such that none of these triangles overlaps triangle .

a) Draw a triangle ABC and then sketch the remainder of the figure. It will help if triangle ABC is not isosceles (or equilateral).

b) Show that, regardless of choice of triangle ABC we always have AX=BY=CZ.

Maplesnowy  Mar 21, 2018
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This same question was answered not too long ago...

 

https://web2.0calc.com/questions/let-abc-be-any-triangle-equilateral-triangles-bcx    smiley

hectictar  Mar 21, 2018
edited by hectictar  Mar 21, 2018

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