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Problem 898
If form a triangle and is a point in the interior then, if is where the perpendicular from to meets the triangle, and similarly for and ,
Source: erdosproblems.com/898
- Geometry
Status
Solved, ProvedAn accepted solution exists. The statement is true.
PROVED (LEAN). The site credits the proof to Mordell, soon after Erdős conjectured the inequality; the claim page Mordell records the proof, its publications and its acceptance.