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Difference between revisions of "Mock AIME 1 2010 Problems/Problem 3"

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== Problem ==
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Let <math>AB</math> be a line segment of length <math>20 \sqrt{2}</math>, and let <math>S</math> be the set of all points <math>P</math> such that <math>m \angle APB \geq 45^{\circ}</math>. Find the last three digits of the largest integer less than the area of <math>S</math>.
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== Solution ==
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<math>\boxed{284}</math>.
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== See Also ==
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*[[Mock AIME 1 2010 Problems]]
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*[[Mock AIME 1 2010 Problems/Problem 2|Followed by Problem 2]]
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*[[Mock AIME 1 2010 Problems/Problem 4|Followed by Problem 4]]

Revision as of 07:51, 2 August 2024

Problem

Let $AB$ be a line segment of length $20 \sqrt{2}$, and let $S$ be the set of all points $P$ such that $m \angle APB \geq 45^{\circ}$. Find the last three digits of the largest integer less than the area of $S$.

Solution

$\boxed{284}$.

See Also

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