MathDB

15

Part of 2017 Hanoi Open Mathematics Competitions

Problems(2)

any quadrilateral can be divided into 9 isosceles (2017 HOMC Junior Q15)

Source:

8/3/2019
Show that an arbitrary quadrilateral can be divided into nine isosceles triangles.
geometryIsosceles Triangleisoscelesquadrilateral
cover a square with 8 squares, impossible (HOMC 2017 Q15)

Source:

8/3/2019
Let SS denote a square of side-length 77, and let eight squares with side-length 33 be given. Show that it is impossible to cover SS by those eight small squares with the condition: an arbitrary side of those (eight) squares is either coincided, parallel, or perpendicular to others of SS .
Squarescombinatorial geometrygeometry