Difference between revisions of "Mock AIME 2 2006-2007 Problems/Problem 12"
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Note*: <math>\displaystyle[ABC]</math> and <math>\displaystyle[ADB]</math> refer to the areas of triangles <math>\displaystyle ABC</math> and <math>\displaystyle ADB.</math> | Note*: <math>\displaystyle[ABC]</math> and <math>\displaystyle[ADB]</math> refer to the areas of triangles <math>\displaystyle ABC</math> and <math>\displaystyle ADB.</math> | ||
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| + | ==Solution== | ||
| + | {{solution}} | ||
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| + | ---- | ||
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| + | *[[Mock AIME 2 2006-2007/Problem 11 | Previous Problem]] | ||
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| + | *[[Mock AIME 2 2006-2007/Problem 13 | Next Problem]] | ||
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| + | *[[Mock AIME 2 2006-2007]] | ||
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== Problem Source == | == Problem Source == | ||
AoPS users 4everwise and Altheman collaborated to create this problem. | AoPS users 4everwise and Altheman collaborated to create this problem. | ||
Revision as of 18:49, 22 August 2006
Problem
In quadrilateral 
and ![$\displaystyle \frac{[ADB]}{[ABC]}=\frac12.$](http://latex.artofproblemsolving.com/2/c/2/2c2b0b243cd26594cc1397038bbabb406799990a.png)
If 
, 
and the area of 
is 
where 
are relatively prime positive integers, find 
Note*: ![$\displaystyle[ABC]$](http://latex.artofproblemsolving.com/1/0/3/1031137193fcfa50ea50b4ac88c6d4d7682cd2a3.png)
and ![$\displaystyle[ADB]$](http://latex.artofproblemsolving.com/7/4/5/7451198dc56fc9969e2b0878d05580651aa8a31f.png)
refer to the areas of triangles 
and 
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
Problem Source
AoPS users 4everwise and Altheman collaborated to create this problem.
