Difference between revisions of "2004 AMC 10A Problems/Problem 20"

(New page: ==Problem== Points <math>E</math> and <math>F</math> are located on square <math>ABCD</math> so that <math>\triangle BEF</math> is equilateral. What is the ratio of the area of <math>\tria...)
 
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==Solution==
 
==Solution==
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== See also ==
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==See also==
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=131332 AoPS topic]
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*[http://www.artofproblemsolving.com/Forum/viewtopic.php?t=131332 AoPS topic]
 
{{AMC10 box|year=2004|ab=A|num-b=19|num-a=21}}
 
{{AMC10 box|year=2004|ab=A|num-b=19|num-a=21}}

Revision as of 01:40, 23 April 2008

Problem

Points $E$ and $F$ are located on square $ABCD$ so that $\triangle BEF$ is equilateral. What is the ratio of the area of $\triangle DEF$ to that of $\triangle ABE$?

AMC10 2004A 20.png

$\mathrm{(A) \ } \frac{4}{3} \qquad \mathrm{(B) \ } \frac{3}{2} \qquad \mathrm{(C) \ } \sqrt{3} \qquad \mathrm{(D) \ } 2 \qquad \mathrm{(E) \ } 1+\sqrt{3}$

Solution

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See also

2004 AMC 10A (ProblemsAnswer KeyResources)
Preceded by
Problem 19
Followed by
Problem 21
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
All AMC 10 Problems and Solutions