The circumcenter of a triangle will lie inside the triangle if the triangle is acute, meaning all its angles are less than 90 degrees. In this case, the perpendicular bisectors of the triangle's sides intersect at a point that is located within the triangle. Conversely, if the triangle is obtuse (one angle greater than 90 degrees), the circumcenter will lie outside the triangle. For right triangles, the circumcenter lies at the midpoint of the hypotenuse.
Yes, it can.
circumcenter circumcenter is wrong, it is the incenterbecause the point of concurrency is always on the inside of the triangle.
inside
The circumcenter of a triangle is equidistant from the vertices of a triangle.
The circumcenter of a triangle is the point where the perpendicular bisectors of the triangle's sides intersect. It is equidistant from all three vertices of the triangle, making it the center of the circumcircle, which is the circle that passes through all three vertices. The circumcenter's location varies depending on the triangle type: it lies inside the triangle for acute triangles, on the triangle for right triangles, and outside for obtuse triangles.
The circumcenter can be inside or outside the triangle.
Yes, it can.
circumcenter circumcenter is wrong, it is the incenterbecause the point of concurrency is always on the inside of the triangle.
inside
inside
false
The circumcenter is equidistant from each vertex of the triangle.The circumcenter is at the intersection of the perpendicular bisectors of the triangle's sides.The circumcenter of a right triangle falls on the side opposite the right angle.The incenter of a triangle is always inside it.The incenter is where all of the bisectors of the angles of the triangle meet.The incenter is equidistant from each side of the triangle
The circumcenter is equidistant from each vertex of the triangle.The circumcenter is at the intersection of the perpendicular bisectors of the triangle's sides.The circumcenter of a right triangle falls on the side opposite the right angle.The incenter of a triangle is always inside it.The incenter is where all of the bisectors of the angles of the triangle meet.The incenter is equidistant from each side of the triangle
The circumcenter of a triangle is equidistant from the vertices of a triangle.
The circumcenter of a triangle is equidistant from the vertices.
When a circle is drawn around a triangle touching each of its 3 vertices the circumcenter of the triangle is found by drawing 3 perpendicular lines at the midpoint of each of its sides and where these lines intersect within the triangle is its circumcenter.Apex: A. The circumcenter is equidistant from each vertex of the triangle. B. The circumcenter is at the intersection of the perpendicular bisectors of the triangle's sides. C. The circumcenter of an obtuse triangle is always outside it.
No, it is not.