2019 AMC 12B Problems/Problem 25
Problem
Let be a convex quadrilateral with
and
Suppose that the centroids of
and
form the vertices of an equilateral triangle. What is the maximum possible value of
?
Solution
Let be the centroids of
Rotate
to
Then is also equilateral
Which has a larger or equal area than
Area of
is at most
Therefore the maximum area for is
See Also
2019 AMC 12B (Problems • Answer Key • Resources) | |
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