Chapter 7.CT, Problem 6CT

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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For a given triangle (such as

a) the three angle bisectors? _________________

b) the three medians? ___________________

*Exercises 6, 7*

To determine

**(a)**

**To describe:**

The point of concurrency for the three angle bisectors for a given triangle (such as

Explanation

The incenter is the center of the triangle's incircle, the largest circle that will fit inside the triangle and touch all three sides.

One of several centers the triangle can have, the incenter is the point where the angle bisectors intersect. The incenter is also the center of the triangle's incircle- the largest circle that will fit inside the triangle.

**Calculation:**

The point where the three internal angle bisectors of a triangle are concurrent is called the incenter of the triangle.

Suppose we bisect the internal angles of

To determine

**(b)**

**To describe:**

The point of concurrency for the three medians for a given triangle (such as

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