MathDB
distance between collinear points (2021 May Olympiad L1 p1)

Source:

August 20, 2021
geometry

Problem Statement

In a forest there are 55 trees A,B,C,D,EA, B, C, D, E that are in that order on a straight line. At the midpoint of ABAB there is a daisy, at the midpoint of BCBC there is a rose bush, at the midpoint of CDCD there is a jasmine, and at the midpoint of DEDE there is a carnation. The distance between AA and EE is 2828 m; the distance between the daisy and the carnation is 2020 m. Calculate the distance between the rose bush and the jasmine.