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ROSECODE 155

Morley's triangles - Warming up

Philippe_57721 · Math ·

A beautiful theorem of elementary geometry only discovered in 1898 by Frank Morley states:
In any triangle, the three points of intersection of the adjacent angle trisectors form an equilateral triangle.

What is the side of the Morley's triangle for the integer sided triangle : (20424, 24167, 29791)
It's a rational number.

Answer format: P/Q (in irreductible form)