Which of the following are properties of the circumcenter of a triangle? Checkall that apply.A. The circumcenter of an obtuse triangle is always outside it.B. The circumcenter is at the intersection of the perpendicularbisectors of the triangle's sides.C. The circumcenter is equidistant from each vertex of the triangle.D. The circumcenter is equidistant from each side of the triangle.
Mathematics · Middle School · Thu Feb 04 2021
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Circumcenter of a triangle: The circumcenter of a triangle is defined as the point where the perpendicular bisector of the sides of that particular triangle intersect. In other words, the point of concurrency of the bisector of the sides of a triangle is called the circumcenter
- Properties of circumcenter of a triangle: 1.The circumcenter is the centre of the circumcircle
- 2.All the vertices of a triangle are equidistant from the circumcenter
- 3.In an acute-angled triangle, circumcenter lies inside the triangle
- 4.In an obtuse-angled triangle, it lies outside of the triangle
- 5. Circumcenter lies at the midpoint of the hypotenuse side of a right-angled triangle