"Circumcenter" Example Sentences
1. The circumcenter of a triangle is the point where its perpendicular bisectors meet.
2. The circumcircle passing through the three vertices of a triangle is centered at the circumcenter.
3. The circumcenter of an isosceles triangle lies on the symmetry axis.
4. The circumcenter of a right triangle is the midpoint of its hypotenuse.
5. The distance between the circumcenter and any vertex of an equilateral triangle is the same.
6. The circumcenter of a triangle can lie outside or inside the triangle itself.
7. The circumcenter is equidistant from the three vertices of a triangle.
8. The circumcenter of an acute triangle lies inside the triangle.
9. The circumradius of a triangle is the distance between its circumcenter and any of its vertices.
10. The circumcenter of a triangle can be found by intersecting the perpendicular bisectors of its sides.
11. The circumcenter of an obtuse triangle lies outside the triangle.
12. The circumcenter of a triangle with sides of equal length is at the centroid.
13. The circumcenter of a triangle with sides of unequal length can be inside or outside the triangle.
14. The circumcenter of an isosceles right triangle lies at the midpoint of its hypotenuse.
15. The circumcenter of a triangle is the center of its circumscribed circle.
16. The circumcenter of a triangle can never be the same as its orthocenter.
17. The circumcenter of an equilateral triangle is also its centroid.
18. The circumcenter of a scalene triangle can be inside or outside the triangle.
19. The circumcenter of a triangle is always equidistant from the midpoints of its sides.
20. In an equilateral triangle, the circumcenter coincides with its incenter and orthocenter.
21. The circumcenter of a right triangle is equidistant from its vertices.
22. The circumcenter of an isosceles triangle coincides with its centroid and orthocenter.
23. The circumcenter of a triangle lies on the Euler line.
24. The circumcenter of an acute triangle is inside its circumcircle.
25. The circumcenter of a triangle is the center of the circle that passes through its vertices.
26. The circumcenter of a triangle lies at the intersection of its three perpendicular bisectors.
27. The circumcenter of a triangle is the point equidistant from its three sides.
28. The circumcenter of an obtuse triangle is outside its circumcircle.
29. In a right triangle, the circumcenter lies on the midpoint of its hypotenuse.
30. The circumcenter of a triangle divides its Euler line in the ratio 2:1.
Common Phases
1. The
circumcenter is the intersection point of the perpendicular bisectors of a triangle;
2. To locate the
circumcenter of a triangle, draw the perpendicular bisectors of two sides and find their intersection point;
3. The
circumcenter is equidistant from the three vertices of a triangle;
4. The
circumcenter is the center of the circumcircle, which passes through all three vertices of a triangle;
5. The
circumcenter of an equilateral triangle is the center of the triangle itself.