Difference between revisions of "1994 AIME Problems/Problem 10"

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== Problem ==
 
== Problem ==
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In triangle <math>ABC,\,</math> angle <math>C</math> is a right angle and the altitude from <math>C\,</math> meets <math>\overline{AB}\,</math> at <math>D.\,</math>  The lengths of the sides of <math>\triangle ABC\,</math> are integers, <math>BD=29^3,\,</math> and <math>\cos B=m/n\,</math>, where <math>m\,</math> and <math>n\,</math> are relatively prime positive integers.  Find <math>m+n.\,</math>
  
 
== Solution ==
 
== Solution ==
 
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== See also ==
 
== See also ==
* [[1994 AIME Problems/Problem 9 | Previous problem]]
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{{AIME box|year=1994|num-b=9|num-a=11}}
* [[1994 AIME Problems/Problem 11 | Next problem]]
 
* [[1994 AIME Problems]]
 

Revision as of 22:38, 28 March 2007

Problem

In triangle $ABC,\,$ angle $C$ is a right angle and the altitude from $C\,$ meets $\overline{AB}\,$ at $D.\,$ The lengths of the sides of $\triangle ABC\,$ are integers, $BD=29^3,\,$ and $\cos B=m/n\,$, where $m\,$ and $n\,$ are relatively prime positive integers. Find $m+n.\,$

Solution

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See also

1994 AIME (ProblemsAnswer KeyResources)
Preceded by
Problem 9
Followed by
Problem 11
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All AIME Problems and Solutions