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Topic: Geometry please help!!!
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Posts: 5
Registered: 9/12/07
Geometry please help!!!
Posted: Sep 12, 2007 2:54 PM
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We have an angle (less than 180 degree) with it's top in point P. We also have point A inside the angle (interior). Points X and Y are laying on different legs of this angle and |PX| = |PY|.

We must prove that when the sum: |AX| + |AY| is the smallest (minimum), the equation belove is correct:

Angle XAP is equal to angle YAP.

P.S Point A is "standing still", and can be anywhere inside the triangle. We only move X and Y points

Someone has an Idea how to solve it?
I am trying to solve it for month and still can't do it!

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