Question

draw an obtuse angled triangle and a right angled triangle. find the concurrence of the angle bisector of each triangle. where do the points of concurrence lie?​

Answer 1

Angle bisectors of the obtuse and right-angled triangle:

• The angle bisectors of an obtuse-angled triangle intersect at a point M inside the triangle.
• The angle bisectors of a right-angled triangle intersect at a point N inside the triangle.

In the figure, ABC is an obtuse-angled triangle whose angle bisectors intersect at the point M and it lies inside the triangle.

PQR is a right-angled triangle whose angle bisectors intersect at the point N and it lies inside the triangle.