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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.

 Mar 21, 2018
 #1
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Hello! I believe this question is already answered here:

 

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

 Mar 21, 2018
 #2
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Click on the link to read Melody’s and CHilll’s solutions. 

 

Very beautiful question with an elegant solution! :)

 Mar 21, 2018

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