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Topic: 3-Points of a Triangle
Replies: 5   Last Post: Dec 9, 2001 9:46 AM

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Gerald Brown

Posts: 46
Registered: 12/6/04
3-Points of a Triangle
Posted: Oct 25, 2001 9:27 AM
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Here is a problem that I have been working on for awhile:

A 3-point of a triangle is defined as a point where there exists
three distinct lines through the point and each line divides the
triangle into two polygons of equal area. Clearly, the centroid of the
triangle is a 3-point of the triangle. What percent of the area of a
triangle is the area of the set of 3-points of the triangle?

gdb

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