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Kazakov triangles

Kazakov triangles
Kazakov triangles

A circle with its centre and three triangles consisting of chords and radii. Express area X in terms of A, B and α.

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Solution

X=√((A+B)2-4ABsin2(α))=√(A2+B2+2ABcos(2α))

Solution by Nemo.

See also: https://x.com/Mirangu1/status/1854215913744085214

More solutions: https://x.com/Mirangu1/status/1937469646111899766

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