2023 RMO: Difference between revisions

Latest revision as of 12:30, 9 December 2024

Revision as of 12:30, 9 December 2024 view source Caladrius (talk \| contribs) editor 24 edits →Problem 5 ← Older edit		Latest revision as of 12:30, 9 December 2024 view source Caladrius (talk \| contribs) editor 24 edits →Problem 6
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	==Problem 6==		==Problem 6==
	Consider a set of <math>16</math> points arranged in a <math>4\times4</math> square grid formation. Prove that if any <math>7</math> of these points are coloured blue, then there exists an isosceles right-angled triangle whose vertices are all blue.