Difference between revisions of "1992 OIM Problems/Problem 6"
(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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| − | < | + | <cmath>area(H) \ge 13.area(T)</cmath> |
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com | ~translated into English by Tomas Diaz. ~orders@tomasdiaz.com | ||
Revision as of 14:06, 13 December 2023
Problem
From the triangle 
with vertices 
, 
and 
, the hexagon 
with vertices 
, 
, 
, 
, 
, 
is constructed as shown in the figure.
Show that:
![\[area(H) \ge 13.area(T)\]](http://latex.artofproblemsolving.com/f/c/4/fc4e404f0e7cc3851c1dfea4d938a092dbdf78e5.png)
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
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