Geometryhard · Past Paper
The distance between the circumcenter and the centroid (OG) on the Euler line is what fraction of the distance between the circumcenter and the orthocenter (OH)?
A1/2
B1/3
C2/3
D1/4
✓ Correct Answer: B — 1/3
The centroid G divides the segment OH (Orthocenter to Circumcenter) in the ratio 2:1, so OG = 1/3 OH.
Share this question
More from Geometry
- Find the area of a triangle with vertices (1, 2), (3, 4), and (10, 6).
- If a square is inscribed in a circle of radius r, what is the area of the square?
- If the length of an arc of a circle of radius 14 cm is 22 cm, find the central angle subtended by it.
- In triangle ABC, angle A = 2x, angle B = 3x, and angle C = 5x. Find the value of angle C.
- The angles of a triangle are in the ratio 1:2:3. What type of triangle is it?