Question

Incentre of a triangle can lie:

• A. inside the triangle
• B. on one of the sides of the triangle
• C. outside the triangle
• D. on one of the vertices of the triangle

Answer 1

The correct option is A inside the triangle

$\text{Incentre}$ is the point where all the three interior angle bisectors of a triangle meet.

Here, $O$ is the incentre of the triangle $△ABC.$

Clearly, the incentre always lies inside the triangle as it is the point where the $\text{interior}$ angle bisectors meet.