"Orthocenter" Example Sentences
1. The orthocenter of a triangle is the point where the altitudes intersect.
2. Finding the orthocenter of a triangle can be done using geometry.
3. The orthocenter is one of the four special points of a triangle.
4. The orthocenter is always located inside an acute triangle.
5. The orthocenter is located on the triangle's extended altitude in an obtuse triangle.
6. The orthocenter, circumcenter, incenter, and centroid are the four special points of a triangle.
7. The orthocenter is also known as the "altitude point."
8. The orthocenter is equidistant from the feet of the altitudes.
9. The orthocenter is always collinear with the circumcenter and the centroid of a triangle.
10. The orthocenter is not always located inside a right triangle.
11. If a triangle is equilateral, its orthocenter coincides with its centroid and circumcenter.
12. Two triangles can have the same orthocenter but different circumcenters.
13. The orthocenter of an isosceles triangle is located on its axis of symmetry.
14. The orthocenter is the point of intersection of the perpendiculars drawn to the sides of a triangle.
15. The orthocenter is a vital concept in the study of Euclidean geometry.
16. The distance between the circumcenter and the orthocenter is twice the distance between the centroid and the orthocenter.
17. The orthocenter is the only special point of a triangle that does not define a circle.
18. The orthocenter is the opposite of the circumcenter in right triangles.
19. The orthocenter is always located on the triangle's extended altitude in an obtuse triangle.
20. The orthocenter is not always located inside an obtuse triangle.
21. The orthocenter is the center of the nine-point circle.
22. The orthocenter is important in determining the properties of triangles.
23. The orthocenter of a triangle can be found by drawing perpendiculars from each vertex to the opposite side.
24. The orthocenter is a crucial concept in trigonometry.
25. The orthocenter can be used to find the area of a triangle.
26. The orthocenter divides the altitudes of a triangle in a particular ratio.
27. The orthocenter is an essential element in the study of coordinate geometry.
28. The orthocenter of an equilateral triangle lies on its circumcenter.
29. The orthocenter of a triangle with a right angle lies on the vertex opposite the right angle.
30. The orthocenter of a scalene triangle is always located inside the triangle.
Common Phases
1. The
orthocenter is the point where the altitudes of a triangle intersect;
2. The
orthocenter is not always inside the triangle;
3. The
orthocenter is the concurrency point of the three altitudes of a triangle;
4. The
orthocenter is equidistant from the feet of each altitude;
5. The
orthocenter determines the orthocentric system of a triangle.