Draw an obtuse-angled triangle and a right-angled triangle. Find the points of the concurrence of the angle bisector of each triangle. Where does the concurrence lie?

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.

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Updated on: 10-Oct-2022

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