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What is the circumcenter theorem?
The circumcenter of a triangle is equidistant from the vertices of a triangle.
What type of triangle has a circumcenter on one of its sides?
A right angled triangle.
When will the circumcenter lie be inside the triangle?
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.
What is the circumcenter of a triangle?
Circumcenter - the center of the circle that circumscribes the triangle, ie. goes through all its vertices.
What triangle is the point of concurrency of the angle bisectors of a triangle?
circumcenter circumcenter is wrong, it is the incenterbecause the point of concurrency is always on the inside of the triangle.
What kind of triangle has its circumcenter on one of its sides?
A right triangle
What is the circumcenter theorem?
The circumcenter of a triangle is equidistant from the vertices of a triangle.
The circumcenter of a triangle is the center of the only circle that can be it?
circumscribed about
What type of triangle has a circumcenter on one of its sides?
A right angled triangle.
The circumcenter of a triangle is the center of the only circle that can be circumscribed about it?
True
The circumcenter of a triangle is the center of the only circle that can be inscribed about it?
False
Is the circumcenter of a triangle the center of the only circle that can be circumscribed?
Yes, it is.
Does a circumcenter stay inside the triangle at all times?
The circumcenter can be inside or outside the triangle.
What is the Circumcenter Conjecture?
The circumcenter of a triangle is equidistant from the vertices.
When will the circumcenter lie be inside the triangle?
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.
What are properties of the circumcenter of a triangle?
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.
Is the circumcenter of a triangle is always on the side of a triangle?
No, it is not.
