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exists triangle of medians (15th -a QEDMO p8 19. - 22. 10. 2017)

Source:

May 30, 2021
geometryMedianstriangle inequality

Problem Statement

Let ABCABC be a triangle of area 11 with medians sa,sb,scs_a, s_b,s_c. Show that there is a triangle whose sides are the same length as sa,sbs_a, s_b, and scs_c, and determine its area.
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