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

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

1 Answer

3 votes

Answer:

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.

Where can the bisectors of the angles of an obtuse triangle intersect? I. inside the-example-1
User Utkarsh Dixit
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