Difference between revisions of "1989 AIME Problems/Problem 9"
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== Problem == | == Problem == | ||
| + | Let <math>a_{}^{}</math>, <math>b_{}^{}</math>, <math>c_{}^{}</math> be the three sides of a triangle, and let <math>\alpha_{}^{}</math>, <math>\beta_{}^{}</math>, <math>\gamma_{}^{}</math>, be the angles opposite them. If <math>a^2+b^2=1989^{}_{}c^2</math>, find | ||
| + | <center><math>\frac{\cot \gamma}{\cot \alpha+\cot \beta}</math></center> | ||
== Solution == | == Solution == | ||
| + | {{solution}} | ||
== See also == | == See also == | ||
| + | * [[1989 AIME Problems/Problem 10|Next Problem]] | ||
| + | * [[1989 AIME Problems/Problem 8|Previous Problem]] | ||
* [[1989 AIME Problems]] | * [[1989 AIME Problems]] | ||
Revision as of 23:09, 24 February 2007
Problem
Let 
, 
, 
be the three sides of a triangle, and let 
, 
, 
, be the angles opposite them. If 
, find
Solution
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