Move point B or point C. What do you observe?

The central triangle with one angle equal to 60 degree is called a eutrigon. The areas of equilateral triangles constructed on the three facesobey the eutrigon theorem, which gives the area of the central triangle in terms of the areas of the other three triangles as shown in the illustration.

Reference: "The Eutrigon Theorem" from The Wolfram Demonstrations Project

http://demonstrations.wolfram.com/TheEutrigonTheorem/

The central triangle with one angle equal to 60 degree is called a eutrigon. The areas of equilateral triangles constructed on the three facesobey the eutrigon theorem, which gives the area of the central triangle in terms of the areas of the other three triangles as shown in the illustration.

Reference: "The Eutrigon Theorem" from The Wolfram Demonstrations Project

http://demonstrations.wolfram.com/TheEutrigonTheorem/

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