Problem 905: Lester Circle Theorem, Triangle, Circumcenter, Nine-Point Center, First and Second Fermat Point

Geometry Problem 905. Post your solution in the comments box below
Click the figure below to open the illustration and download the graphic.

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Dynamic Geometry Problem 904: Second Fermat Point. Triangle, Equilateral triangles, Concurrent lines

Geometry Problem 904. GeoGebra, HTML5 Animation for iPad and Nexus.
Post your solution in the comments box below.
Level: Mathematics Education, High School, Honors Geometry, College.

Click here to see the static diagram.
Click here to see the dynamic diagram.

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Geometry Problem 903: First Fermat Point

Problem 903. Post your solution in the comments box below
Triangle centers
A triangle with three equilateral triangles erected externally on the sides.
Click the figure below to see the complete illustration.


See also:
Fermat Point
Level: High School, SAT Prep, College geometry