1992 AIME Problems/Problem 14: Difference between revisions
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== Problem == | == Problem == | ||
In triangle <math>ABC^{}_{}</math>, <math>\displaystyle A'</math>, <math>\displaystyle B'</math>, and <math>\displaystyle C'</math> are on the sides <math>\displaystyle BC</math>, <math>AC^{}_{}</math>, and <math>AB^{}_{}</math>, respectively. Given that <math>\displaystyle AA'</math>, <math>\displaystyle BB'</math>, and <math>\displaystyle CC'</math> are concurrent at the point <math>O^{}_{}</math>, and that <math>\frac{AO^{}_{}}{OA'}+\frac{BO}{OB'}+\frac{CO}{OC'}=92</math>, find <math>\frac{AO}{OA'}\cdot \frac{BO}{OB'}\cdot \frac{CO}{OC'}</math>. | |||
== Solution == | == Solution == | ||
Revision as of 22:45, 10 March 2007
Problem
In triangle 
, 
, 
, and 
are on the sides 
, 
, and 
, respectively. Given that 
, 
, and 
are concurrent at the point 
, and that 
, find 
.
Solution
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