MathDB

11

Part of 2019 Sharygin Geometry Olympiad

Problems(1)

Sharygin CR 2019 P11

Source:

3/6/2019
Morteza marks six points in the plane. He then calculates and writes down the area of every triangle with vertices in these points (2020 numbers). Is it possible that all of these numbers are integers, and that they add up to 20192019?
geometry