Difference between revisions of "1985 AIME Problems/Problem 6"
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== Problem == | == Problem == | ||
− | + | 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 == | ||
{{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 18:19, 1 December 2006
Problem
As shown in the figure, triangle 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 .
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Solution
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