5
Problems(2)
an acute triangle conctruction, given two midpoints and orthocenter
Source: 2008 Oral Moscow Geometry Olympiad grades 8-9 p5
10/13/2020
Reconstruct an acute-angled triangle given the orthocenter and midpoints of two sides.(A. Zaslavsky)
geometryorthocenterconstructionmidpoints
polyhedron pasted over with these two shawls without overlap
Source: 2008 Oral Moscow Geometry Olympiad grades 10-11 p5
10/14/2020
There are two shawls, one in the shape of a square, the other in the shape of a regular triangle, and their perimeters are the same. Is there a polyhedron that can be completely pasted over with these two shawls without overlap (shawls can be bent, but not cut)?(S. Markelov).
geometrypolyhedron3D geometry