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Equilateral triangle ABC has centroid G. Triangle A'B'C' is the image of triangle ABC upon a dilation with center G and scale factor -2/3. Let K be the area of the region that is within both triangles. Find K/[ABC].

 

Thank you for the help!

 May 16, 2020
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K/[ABC] = 8/9.

 May 16, 2020

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