Question

In an obtuse triangle ABC which one of the following pairs of points w.r.t. the triangle ABC must lie outside the triangle ?

• A. Centroid and orthocentre
• B. Incentre and circumcentre
• C. Orthocentre and circumcentre
• D. Centroid and circumcentre

Answer 1

The correct option is C Orthocentre and circumcentre

Centroid is the concurrence of medians, hence it will always lie inside the triangle for all the triangles.
Incentre is the center of an incircle, since incircle lies inside the triangle so incenter will always lie inside the triangle.
Hence, circumcenter and orthocentre are the points which will lie outside the triangle for an obtuse angled triangle.