MathDB
broken line's length = perimeter of ABC (2017 Novosibirsk Oral Geo Oly 8-9 p3)

Source:

April 26, 2021
geometryperimeter

Problem Statement

Medians AA1,BB1,CC1AA_1, BB_1, CC_1 and altitudes AA2,BB2,CC2AA_2, BB_2, CC_2 are drawn in triangle ABCABC . Prove that the length of the broken line A1B2C1A2B1C2A1A_1B_2C_1A_2B_1C_2A_1 is equal to the perimeter of triangle ABCABC.
Back to ProblemsView on AoPS