Difference between revisions of "2003 AIME I Problems/Problem 7"
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== Problem == | == Problem == | ||
| + | Point <math> B </math> is on <math> \overline{AC} </math> with <math> AB = 9 </math> and <math> BC = 21. </math> Point <math> D </math> is not on <math> \overline{AC} </math> so that <math> AD = CD, </math> and <math> AD </math> and <math> BD </math> are integers. Let <math> s </math> be the sum of all possible perimeters of <math> \triangle ACD. </math> Find <math> s. </math> | ||
== Solution == | == Solution == | ||
Revision as of 20:08, 6 August 2006
Problem
Point 
is on 
with 
and 
Point 
is not on so that 
and 
and 
are integers. Let 
be the sum of all possible perimeters of 
Find 
