   Chapter 7.2, Problem 22E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

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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