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#### Albert

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- Jan 25, 2013

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- Jan 25, 2013

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- Mar 10, 2012

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Let $r$ be the ray which passes through $M$ and whose beginning point is $B$.

Let $P$ be a point such that $\angle PBA=\angle ABC$.

Draw a ray $l$ which is perpendicular to $AB$ and whose beginning point is $P$.

Let $l$ intersect $BC$ at $N'$.

Let Find a point $M'$ on $r$ such that $|N'M'|=|PN'|$.

Now find a point $N$ on $BC$ such that $\Delta M'BN'\sim MBN$. Then $N$ is the required point.

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- Jan 25, 2013

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very good solutionLet $r$ be the ray which passes through $M$ and whose beginning point is $B$.

Let $P$ be a point such that $\angle PBA=\angle ABC$.

Draw a ray $l$ which is perpendicular to $AB$ and whose beginning point is $P$.

Let $l$ intersect $BC$ at $N'$.

Let Find a point $M'$ on $r$ such that $|N'M'|=|PN'|$.

Now find a point $N$ on $BC$ such that $\Delta M'BN'\sim MBN$. Then $N$ is the required point.

- Mar 10, 2012

- 834