Difference between revisions of "2023 RMO"

Latest revision as of 12:30, 9 December 2024

Revision as of 12:30, 9 December 2024 (view source) Caladrius (talk \| contribs) (→‎Problem 5) ← Older edit		Latest revision as of 12:30, 9 December 2024 (view source) Caladrius (talk \| contribs) (→‎Problem 6)
Line 10:		Line 10:

	==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.