Question

If co ordinate of the vertices of a $\Delta ABC$ are integral and centroid and orthcentre are coincident then

• A. $\Delta ABC$ must be isosceles but not equilateral
• B. $\Delta ABC$ must be equilateral
• C. Data is insufficient
• D. Such triangle is not possible

Answer 1

The correct option is D Such triangle is not possible

When the centroid and orthocentre are co incident, it means that they almost lie on the same line or are parallel to each other.

Thus, such triangle is not possible as it would not be possible to connect them.