MathDB

6

Part of 2016 Novosibirsk Oral Olympiad in Geometry

Problems(1)

equal distances , point in equilateral (2016 Novosibirsk Oral Geo Oly 8-9 p6)

Source:

4/26/2021
An arbitrary point MM inside an equilateral triangle ABCABC was connected to vertices. Prove that on each side the triangle can be selected one point at a time so that the distances between them would be equal to AM,BM,CMAM, BM, CM.
geometryequal segmentsEquilateral