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Omni-MATH / Segments AA', BB', and CC', each of length 2, all intersect at a point O. If angle AOC'=angle BOA'=angle COB'=60^{circ}, find the maximum possible value of the sum of the areas of …

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problem

Segments \(AA', BB'\), and \(CC'\), each of length 2, all intersect at a point OO. If \(\angle AOC'=\angle BOA'=\angle COB'=60^{\circ}\), find the maximum possible value of the sum of the areas of triangles \(AOC', BOA'\), and \(COB'\).
Plain-text mathematical notation (without MathML)
Segments \(AA', BB'\), and \(CC'\), each of length 2, all intersect at a point O. If \(\angle AOC'=\angle BOA'=\angle COB'=60^{\circ}\), find the maximum possible value of the sum of the areas of triangles \(AOC', BOA'\), and \(COB'\).
Original LaTeX notation
Segments \(AA', BB'\), and \(CC'\), each of length 2, all intersect at a point \(O\). If \(\angle AOC'=\angle BOA'=\angle COB'=60^{\circ}\), find the maximum possible value of the sum of the areas of triangles \(AOC', BOA'\), and \(COB'\).

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task_id
052fe9b6-dc9c-531f-bdf2-f12ff72683a8
task_key
test--052fe9b6-dc9c-531f-bdf2-f12ff72683a8
task_revision_id
1
config / split
/ test

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