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Part of 2017 Novosibirsk Oral Olympiad in Geometry

Problems(1)

sum of 2 medians = semiperimeter, grid (2017 Novosibirsk Oral Geo Oly 8-9 p4)

Source:

On grid paper, mark three nodes so that in the triangle they formed, the sum of the two smallest medians equals to half-perimeter.

geometryperimetergrid