Art of Problem Solving

AoPS Online

1991 IMO Problems/Problem 5

Revision as of 15:22, 6 October 2023 by Tomasdiaz (talk | contribs) (Created page with "===Problem === Let <math> \,ABC\,</math> be a triangle and <math> \,P\,</math> an interior point of <math> \,ABC\,</math>. Show that at least one of the angles <math> \,\angle...")

(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Problem

Let $\,ABC\,$ be a triangle and $\,P\,$ an interior point of $\,ABC\,$ . Show that at least one of the angles $\,\angle PAB,\;\angle PBC,\;\angle PCA\,$ is less than or equal to $30^{\circ }$ .

Solution

Retrieved from "https://artofproblemsolving.com/wiki/index.php?title=1991_IMO_Problems/Problem_5&oldid=199201"

© 2024 AoPS Incorporated