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2003 AIME I Problems/Problem 7

Revision as of 20:08, 6 August 2006 by Me@home (talk | contribs) (→‎Problem)

Problem

Point $B$ is on $\overline{AC}$ with $AB = 9$ and $BC = 21.$ Point $D$ is not on $\overline{AC}$ so that $AD = CD,$ and $AD$ and $BD$ are integers. Let $s$ be the sum of all possible perimeters of $\triangle ACD.$ Find $s.$

Solution

See also

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