MathDB

11

Part of 2017 Hanoi Open Mathematics Competitions

Problems(2)

square covered by 8 squares (2017 HOMC Junior Q11)

Source:

8/3/2019
Let SS denote a square of the side-length 77, and let eight squares of the side-length 33 be given. Show that SS can be covered by those eight small squares.
geometrySquares
| <PAB - <PAC| >= |<PBC - <PCB| in equilateral (HOMC 2017 Q11)

Source:

8/3/2019
Let ABCABC be an equilateral triangle, and let PP stand for an arbitrary point inside the triangle. Is it true that ∣∠PAB−∠PAC∣≥∣∠PBC−∠PCB∣| \angle PAB - \angle PAC| \ge | \angle PBC - \angle PCB| ?
geometryinequalitiesgeometric inequalityanglesEquilateral