**Problem 3:**

In $\Delta ABC,\ \angle PAC=\angle PBC$. The perpendicular from $P$ to $BC$ and $CA$ meet these lines at $L$ and $M$ respectively. $D$ is the midpoint of $AB$. What is the value of $\frac {DL}{DM}$?

In $\Delta ABC,\ \angle PAC=\angle PBC$. The perpendicular from $P$ to $BC$ and $CA$ meet these lines at $L$ and $M$ respectively. $D$ is the midpoint of $AB$. What is the value of $\frac {DL}{DM}$?

Does this problem have enough info??

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- FahimFerdous
**Posts:**176**Joined:**Thu Dec 09, 2010 12:50 am**Location:**Mymensingh, Bangladesh

Yes, the problem has enough info. It's an IMO shortlist of 1982.

- bristy1588
**Posts:**92**Joined:**Sun Jun 19, 2011 10:31 am

Yes, as long as the relation $\angle PAC=\angle PBC$ satisfies.

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Nur Muhammad Shafiullah | Mahi

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Nur Muhammad Shafiullah | Mahi