Question

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

Answer 1

Answer:

The triangle has three angles so the three angles has three bisectors. The angle bisector of triangles are also concurrent.

The point of concurrency is called the incenter of the triangle.

The point of concurrency of the altitudes in a triangle is called as the orthocenter.Orthocenter of a triangle is also the point of concurrency of the three altitudes of the triangle. The circumcenter of a triangle is the point of concurrency of the perpendicular bisectors of the sides.

And the diagrams are attached with pictures.