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This is hard

 

Let G be the centroid of triangle ABC.  If triangle ABG is an equilateral triangle with a side length of 2, then find the area of triangle ABC.

 Apr 26, 2023
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Since ABG is an equilateral triangle with side length 2 ==Sqrt(3)

 

Triangle ABC is divided into 3 congruent triangles. Therefore:

 

The area of ABC==3 sqrt(3)

 Apr 26, 2023

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