2018 · Q78
Consider the following statements:
- 1The orthocentre of a triangle always lies inside the triangle.
- 2The centroid of a triangle always lies inside the triangle.
- 3The orthocentre of a right angled triangle lies on the triangle.
- 4The centroid of a right angled triangle lies on the triangle.
Which of the above statements are correct?
Elementary MathematicsGeometry: Lines, Angles and Triangles
- A1 and 2
- B1 and 4
- C2 and 3
- D2 and 4
Explanation
Statement 1 is false (obtuse triangles have the orthocentre outside); 2 is true; 3 is true (it is the right-angle vertex); 4 is false (the centroid lies strictly inside). Hence statements 2 and 3 are correct, option (C).