Difference between revisions of "1994 AIME Problems/Problem 10"
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== Problem == | == Problem == | ||
| + | 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 == | ||
{{solution}} | {{solution}} | ||
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== See also == | == See also == | ||
| − | + | {{AIME box|year=1994|num-b=9|num-a=11}} | |
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Revision as of 23:38, 28 March 2007
Problem
In triangle 
angle 
is a right angle and the altitude from 
meets 
at 
The lengths of the sides of 
are integers, 
and 
, where 
and 
are relatively prime positive integers. Find 
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
See also
| 1994 AIME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 9 |
Followed by Problem 11 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
