Five points are given in the plane. Find the maximum number of similar triangles whose vertices are among those five points.
Problem
Source: XVII Sharygin Correspondence Round P5
Tags: geometry, similar triangles
God_bless_us
02.03.2021 09:02
Is it 28?
gnoka
11.03.2021 09:51
God_bless_us wrote: Is it 28? I guess it's 8, the vertexes of a square and its centor.
Dr_Vex
13.03.2021 14:02
gnoka wrote: God_bless_us wrote: Is it 28? I guess it's 8, the vertexes of a square and its centor. The question asks for maximum number of similar triangles...so the total pairs are 28 is correct (hopefully)
gghx
09.04.2021 15:03
Any rigorous proof?
gghx
01.05.2021 09:23
gghx wrote: Any rigorous proof? Bumpity bump?
amar_04
01.05.2021 10:39
See the official solution here