Question

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

I. inside the triangle
2.on the triangle
3. outside the triangle

Answer 1

option 1 - Inside the triangle.

Explanation:

To find : Where can the bisectors of the angles of an obtuse triangle intersect?

Solution :

Obtuse triangle is the triangle having one angle greater than 90° but smaller than 180°.

Bisector of angle is defined as a line that divides an angle into two equal parts.

Now, Bisector of all angles of any triangle will meet at the center of the in-circle i.e. the circle which touches all three sides .

Which means "The angle bisectors of an obtuse triangle always meet inside of the triangle ".

Therefore, Option 1 is correct.

The angle bisector of an obtuse triangle intersect inside the triangle.

Refer the attached figure below.