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P is a point equidistant from two lines...

P is a point equidistant from two lines l and m intersecting at point A(see Fig. 7.38). Show that the line AP bisects the angle between them.

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Perpendicular from P to l and m
PB=PC
`anglePBA=anglePCA`
In`/_ABP and /_ACP`
`angleABP=angleACP`
`AP=AP`
`BP=CP`
`/_ABP cong /_ ACP`
...
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