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Wed March 07, 2012 By:

# mathematics doubt

Expert Reply
Wed March 07, 2012
In any right triangle circumcenter lies on the mid point of the hypotenuse , hence it is equidistant from the three vertices .
Circumcenter: The three perpendicular bisectors of the sides of a triangle meet in one point called the circumcenter. It is the center of the circumcircle, the circle circumscribed about the triangle. The area of the triangle is abc/4R=2R^2sinAsinBsinC, where R is the radius of the circumcircle, and ^2 means squared. The distance between the incenter and the circumcenter is sqr(R(R-2r)). If the triangle is obtuse, then the circumcenter is outside the triangle. If it is a right triangle, then the circumcenter is the midpoint of the hypotenuse.
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