Chapter 11, Problem 11CUR

To determine

To state: The statement is true / false.

Answer to Problem 11CUR

False

Explanation of Solution

Given:

An obtuse angle triangle with its angle bisectors intersecting at a point.

Kindly refer to the right angled triangle as shown in the figure below:

  

$\Delta PQR$ is an obtuse angle triangle with obtuse angle at point $Q$ .

The angle bisectors of the triangle intersect at point $I$ which is called as in-center.

In-center is the point which is equidistant from all the sides of the triangle.

So, the statement is false.