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1992 OIM Problems/Problem 6

Revision as of 13:06, 13 December 2023 by Tomasdiaz (talk | contribs) (Created page with "== Problem == From the triangle <math>T</math> with vertices <math>A</math>, <math>B</math> and <math>C</math>, the hexagon <math>H</math> with vertices <math>A_1</math>, <mat...")
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Problem

From the triangle $T$ with vertices $A$, $B$ and $C$, the hexagon $H$ with vertices $A_1$, $A_2$, $B_1$, $B_2$, $C_1$, $C_2$ is constructed as shown in the figure.


Show that:

$area(H) \ge 13.area(T)$

~translated into English by Tomas Diaz. ~orders@tomasdiaz.com

Solution

This problem needs a solution. If you have a solution for it, please help us out by adding it.

See also

https://www.oma.org.ar/enunciados/ibe7.htm

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