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1988 OIM Problems/Problem 3

Revision as of 13:03, 13 December 2023 by Tomasdiaz (talk | contribs) (Created page with "== Problem == Prove that from all triangles whose vertices are 3, 5 and 7, away from a given point <math>P</math>, that the one with the largest perimeter has <math>P</math>...")
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Problem

Prove that from all triangles whose vertices are 3, 5 and 7, away from a given point $P$, that the one with the largest perimeter has $P$ as its incenter.

Solution

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