SOLUTION: Invertigate whether the right bisectors of the sides of a triangle always intersect at a single point consider different types of triangles. Describe, explain, and/or show your fin
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Question 196758: Invertigate whether the right bisectors of the sides of a triangle always intersect at a single point consider different types of triangles. Describe, explain, and/or show your findings. A right bisector is a line that is perpendicular to a line segent and divides the line segment into two equal parts.(also caled a perpendicular bisector)
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The perpendicular bisectors of the sides of any triangle intersect in a common point called the circumcenter of the triangle. The circumcenter has the property that it is equidistant from each of the three vertices of the triangle. Therefore, a circle with center at the circumcenter and radius equal to the distance from the circumcenter to one of the vertices of the triangle will pass through all three vertices.
See:
http://www.mathopenref.com/trianglecircumcenter.html
John
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