2021 USAJMO Problems/Problem 3
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Problem
An equilateral triangle of side length
is given. Suppose that
equilateral triangles with side length 1 and with non-overlapping interiors are drawn inside
, such that each unit equilateral triangle has sides parallel to
, but with opposite orientation. (An example with
is drawn below.)
Prove that
Solution
See Also
2021 USAJMO (Problems • Resources) | ||
Preceded by Problem 2 |
Followed by Problem 4 | |
1 • 2 • 3 • 4 • 5 • 6 | ||
All USAJMO Problems and Solutions |
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