Problems(2)
cut an triangle into 2019 pieces (2020 Novosibirsk Oral Geo Oly 7.3)
Source:
4/27/2021
Cut an arbitrary triangle into pieces so that one of them turns out to be a triangle, one is a quadrilateral, ... one is a -gon and one is a -gon. Polygons do not have to be convex.
geometrycombinatorial geometry
3 statements, one false, right triangle (2020 Novosibirsk Oral Geo Oly 8.3)
Source:
5/20/2021
Maria Ivanovna drew on the blackboard a right triangle with a right angle . Three students looked at her and said:
Yura said: "The hypotenuse of this triangle is cm."
Roma said: "The altitude drawn from the vertex on the side is cm."
Seva said: "The area of the triangle is cm."
Determine which of the students was mistaken if it is known that there is exactly one such person.
geometryright triangle