circumcenter in a sentence
n.
📚 Grade Level: Grade 9, Grade 10, Grade 11, Grade 12
Definition
Circumcenter: the point in a triangle where the three perpendicular bisectors of its sides intersect, equidistant from all three vertices.
Sample Sentences
- The circumcenter of a triangle is the point where the three perpendicular bisectors intersect.
- To find the circumcenter, one must first construct the perpendicular bisectors of at least two sides of the triangle.
- In an acute triangle, the circumcenter lies inside the triangle, while in an obtuse triangle, it is located outside.
- The circumcenter can also be used to determine the radius of the circumcircle that passes through all three vertices.
- Geometric constructions often require locating the circumcenter to solve various problems related to triangles.