Difference between revisions of "1985 AIME Problems/Problem 6"

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== Problem ==
 
== Problem ==
 
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As shown in the figure, [[triangle]] <math>ABC</math> is divided into six smaller triangles by [[line]]s drawn from the [[vertex | vertices]] through a common interior point. The [[area]]s of four of these triangles are as indicated. Find the area of triangle <math>ABC</math>.
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== Solution ==
 
== Solution ==
 
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* [[1985 AIME Problems/Problem 7 | Next problem]]
 
* [[1985 AIME Problems/Problem 7 | Next problem]]
 
* [[1985 AIME Problems]]
 
* [[1985 AIME Problems]]
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[[Category:Intermediate Geometry Problems]]

Revision as of 19:19, 1 December 2006

Problem

As shown in the figure, triangle $ABC$ is divided into six smaller triangles by lines drawn from the vertices through a common interior point. The areas of four of these triangles are as indicated. Find the area of triangle $ABC$.


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Solution

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See also