Difference between revisions of "Gergonne's Theorem"

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Latest revision as of 20:13, 31 January 2024

Let $\triangle ABC$ be a triangle and points $M$, $N$, and $P$ to be points on sides $BC, AC,$ and $AB$ respectively such that lines $AM, BN,$ and $CP$ are concurrent at point $O.$ Then, $\frac{OM}{AM} + \frac{ON}{BN} + \frac{OP}{CP} = 1$.