What are the properties of circumcenter in a triangle?
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point of intersection of perpendicular bisectors of the sides of a triangle
It is the centre of the unique circle that passes through all 3 vertices of a triangle.
In right triangles it coincides with the midpoint of hypotenuse
For obtuse triangle ot lies outside the arra of the triangle.
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the circumcenter is where all of the perpendicular bisectors of a triangle intersect. In an acute triangle, the circumcenter is in the triangle, for a right triangle the circumcenter is on the triangle, and for an obtuse triangle the circumcenter is outside the triangle. Also, it is the center of the circumcircle that goes through all of the angles of the triangle.
Step-by-step explanation:
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