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2003 AMC 12A Problems/Problem 17

Revision as of 19:16, 31 May 2008 by Lulze (talk | contribs) (New page: == Problem == Square <math>ABCD</math> has sides of length <math>4</math>, and <math>M</math> is the midpoint of <math>\overline{CD}</math>. A circle with radius <math>2</math> and center ...)
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Problem

Square $ABCD$ has sides of length $4$, and $M$ is the midpoint of $\overline{CD}$. A circle with radius $2$ and center $M$ intersects a circle with raidus $4$ and center $A$ at points $P$ and $D$. What is the distance from $P$ to $\overline{AD}$?

5d50417537c6cddfb70810403c62787b889cdcb1.png

$\textbf{(A)}\ 3 \qquad \textbf{(B)}\ \frac {16}{5} \qquad \textbf{(C)}\ \frac {13}{4} \qquad \textbf{(D)}\ 2\sqrt {3} \qquad \textbf{(E)}\ \frac {7}{2}$

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