   Chapter 7.2, Problem 22E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
1 views

# Is the incenter always located in the interior of the triangle?

To determine

To find:

Is the incenter always located in the interior of the triangle.

Explanation

Definition:

Incenter of the triangle:

The three angle bisectors of a triangle are concurrent and always meet in the triangle’s interior. The incenter is the one point in the triangle whose distances to the sides are equal.

Given:

Is the incenter always located in the interior of the triangle.

Clarification:

The incircle of a triangle is the largest circle that fits in a triangle and its center is called the incenter of a triangle.

We see that the incenter is in fact always inside the triangle, let’s taking a look at an obtuse triangle, right triangle and acute triangle...

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