Difference between revisions of "2004 AMC 10A Problems/Problem 9"

(New page: ==Problem== In the figure, <math>\angle EAB</math> and <math>\angle ABC</math> are right angles. <math>AB=4, BC=6, AE=8</math>, and <math>AC</math> and <math>BE</math> intersect at <math>D...)
 
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==Solution==
 
==Solution==
 
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{{solution}}
 
== See also ==
 
== See also ==
 
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=131320 AoPS topic]
 
* [http://www.artofproblemsolving.com/Forum/viewtopic.php?t=131320 AoPS topic]
 
{{AMC10 box|year=2004|ab=A|num-b=8|num-a=10}}
 
{{AMC10 box|year=2004|ab=A|num-b=8|num-a=10}}

Revision as of 10:19, 15 January 2008

Problem

In the figure, $\angle EAB$ and $\angle ABC$ are right angles. $AB=4, BC=6, AE=8$, and $AC$ and $BE$ intersect at $D$. What is the difference between the areas of $\triangle ABC$ and $\triangle BDC$?

AMC10 2004A 9.gif

Solution

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See also

2004 AMC 10A (ProblemsAnswer KeyResources)
Preceded by
Problem 8
Followed by
Problem 10
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