Question

Where can the bisectors of the angles of an obtuse triangle intersect?

I. inside the triangle
II. on the triangle
III. outside the triangle

I, II, and III
II only
I only
I and II only

Answer 1

I only. It is only inside the triangle.

Answer 2

Option 3 is correct i.e. only I statement is true. ( inside the triangle).

Explanation:

Bisectors of all angles of any triangle will meet at the centre of the incircle i.e. the circle which touches all three sides .

" The angle bisectors of an obtuse triangle always meet inside of the triangle to form the incenter ".

The following could be seen with the help of the figure attached to the answer.

Hence, only I statement is true: The angle bisector of an obtuse triangle intersect inside the triangle.