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Age 14 to 16
Challenge Level
Simple hint: how would you find the set of points that are
equidistant from two given points?
When might that locus not intersect with the given line?
Harder, last part: try dropping perpendiculars from $A$ and $B$ onto the given line.
The distance between those positions might be useful.
When is $P$ between those positions and when is it outside?
When might that locus not intersect with the given line?
Harder, last part: try dropping perpendiculars from $A$ and $B$ onto the given line.
The distance between those positions might be useful.
When is $P$ between those positions and when is it outside?
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NRICH is part of the family of activities in the Millennium Mathematics Project.
NRICH is part of the family of activities in the Millennium Mathematics Project.