MathDB

2019.9.2

Part of Kyiv City MO Juniors 2003+ geometry

Problems(1)

medians AN _|_ CM, when BC=\sqrt2 AC, right triangle (2019 Kyiv City MO 9.2)

Source:

9/16/2020
In a right triangle ABCABC, the lengths of the legs satisfy the condition: BC=2ACBC =\sqrt2 AC. Prove that the medians ANAN and CMCM are perpendicular.
(Hilko Danilo)
geometryMediansperpendicular