Difference between revisions of "2004 AIME II Problems/Problem 13"
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== Problem == | == Problem == | ||
| − | Let <math> ABCDE </math> be a convex pentagon with <math> AB || CE, BC || AD, AC || DE, \angle ABC=120^\circ, AB=3, BC=5, </math> and <math> | + | Let <math> ABCDE </math> be a convex pentagon with <math> AB || CE, BC || AD, AC || DE, \angle ABC=120^\circ, AB=3, BC=5, </math> and <math>DE = 15. </math> Given that the ratio between the area of triangle <math> ABC </math> and the area of triangle <math> EBD </math> is <math> m/n, </math> where <math> m </math> and <math> n </math> are relatively prime positive integers, find <math> m+n. </math> |
== Solution == | == Solution == | ||
{{solution}} | {{solution}} | ||
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== See also == | == See also == | ||
| − | + | {{AIME box|year=2004|n=II|num-b=12|num-a=14}} | |
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Revision as of 12:25, 19 April 2008
Problem
Let 
be a convex pentagon with 
and 
Given that the ratio between the area of triangle 
and the area of triangle 
is 
where 
and 
are relatively prime positive integers, find 
Solution
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See also
| 2004 AIME II (Problems • Answer Key • Resources) | ||
| Preceded by Problem 12 |
Followed by Problem 14 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
