Difference between revisions of "1999 AIME Problems/Problem 14"
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Revision as of 18:26, 14 October 2007
Problem
Point 
is located inside traingle 
so that angles 
and 
are all congruent. The sides of the triangle have lengths 
and 
and the tangent of angle 
is 
where 
and 
are relatively prime positive integers. Find 
Solution
See also
| 1999 AIME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 13 |
Followed by Problem 15 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
