Difference between revisions of "1992 OIM Problems/Problem 6"
| Line 11: | Line 11: | ||
== Solution == | == Solution == | ||
| + | * Note. I actually competed at this event in Venezuela when I was in High School representing Puerto Rico. I think I got half the points on this one. I don't remember what I did. I will try to solve later. | ||
{{solution}} | {{solution}} | ||
== See also == | == See also == | ||
https://www.oma.org.ar/enunciados/ibe7.htm | https://www.oma.org.ar/enunciados/ibe7.htm | ||
Revision as of 17:25, 14 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
- Note. I actually competed at this event in Venezuela when I was in High School representing Puerto Rico. I think I got half the points on this one. I don't remember what I did. I will try to solve later.
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