BdMO National Secondary 2015#7

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samiul_samin
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BdMO National Secondary 2015#7

Unread post by samiul_samin » Wed Feb 20, 2019 8:46 pm

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 $\frac {AO}{OA'}\times \frac {BO}{OB'}\times \frac {CO}{OC'}$.

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samiul_samin
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Re: BdMO National Secondary 2015#7

Unread post by samiul_samin » Wed Feb 20, 2019 10:26 pm

Hint
Use Van Aubel's theorem
Answer
$94$
Solution source

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