1992 AIME Problems/Problem 14

Problem

In triangle $ABC^{}_{}$ , $\displaystyle A'$ , $\displaystyle B'$ , and $\displaystyle C'$ are on the sides $\displaystyle BC$ , $AC^{}_{}$ , and $AB^{}_{}$ , respectively. Given that $\displaystyle AA'$ , $\displaystyle BB'$ , and $\displaystyle CC'$ are concurrent at the point $O^{}_{}$ , and that $\frac{AO^{}_{}}{OA'}+\frac{BO}{OB'}+\frac{CO}{OC'}=92$ , find $\frac{AO}{OA'}\cdot \frac{BO}{OB'}\cdot \frac{CO}{OC'}$ .

Solution

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1992 AIME Problems/Problem 14

Problem

Solution

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