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Earn +20 ptsQ: Are the three perpendicular bisectors of the sides of a triangle concurrent?
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What is the term for the point where the perpendicular bisectors of a triangle's sides meet?
Circumcenter
Which best describes the circumcenter of a triangle?
The point where the perpendicular bisectors of the three sides of the triangle intersect
How do you find the incenter?
The incenter is the point of concurrency of the perpendicular bisectors of the triangle's sides
Are the angle bisectors of a regular polygon sometimes concurrent?
The angle bisectors of a regular polygon are always concurrent. And the point that they meet at is also the meeting point of the perpendicular bisectors of the sides. If it is a polygon with an odd nmber of sides, the "medians" [line from vertex to mid-point of opposite side] and "altitudes" [perpendicular from vertex to opposite side] will also meet at the same point.
If the intersection of the perpendicular bisectors of the sides of a triangle lies on one of the sides of the triangle the triangle must be?
A right triangle. See: http://en.wikipedia.org/wiki/Circumscribed_circle#Circumscribed_circles_of_triangles
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