# 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 22:09, 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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