BdMO National Secondary 2015#7

[samiul_samin]

In triangle $\triangle ABC$, the points $A', B', C'$ are on sides $BC, AC, AB$ respectively. Also, $AA', BB', CC'$ intersect at the point $O$(they are concurrent at $O$). Also, $\frac {AO}{OA'}+\frac {BO}{OB'}+\frac {CO}{OC'} = 92$. Find the value of $\frac {AO}{OA'}\times \frac {BO}{OB'}\times \frac {CO}{OC'}$.

[samiul_samin]

Hint

Use Van Aubel's theorem

Answer

$94$

Solution source

https://artofproblemsolving.com/communi ... 76p4667575