Difference between revisions of "2003 AIME II Problems/Problem 6"
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== Problem == | == Problem == | ||
| + | In triangle <math>ABC,</math> <math>AB = 13,</math> <math>BC = 14,</math> <math>AC = 15,</math> and point <math>G</math> is the intersection of the medians. Points <math>A',</math> <math>B',</math> and <math>C',</math> are the images of <math>A,</math> <math>B,</math> and <math>C,</math> respectively, after a <math>180^\circ</math> rotation about <math>G.</math> What is the area if the union of the two regions enclosed by the triangles <math>ABC</math> and <math>A'B'C'?</math> | ||
== Solution == | == Solution == | ||
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== See also == | == See also == | ||
| − | + | {{AIME box|year=2003|n=II|num-b=5|num-a=7}} | |
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Revision as of 14:37, 21 November 2007
Problem
In triangle 
and point 
is the intersection of the medians. Points 
and 
are the images of 
and 
respectively, after a 
rotation about 
What is the area if the union of the two regions enclosed by the triangles 
and 
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
See also
| 2003 AIME II (Problems • Answer Key • Resources) | ||
| Preceded by Problem 5 |
Followed by Problem 7 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
