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Elementary Geometry for College St...

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

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Chapter
Section
BuyFindarrow_forward

Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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Does a rhombus have (a) an incenter? (b) a circumcenter?

To determine

(a)

To find:

Does a rhombus have an incenter.

Explanation

Definition:

Incenter of the triangle:

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

Given:

Does a rhombus have an incenter.

Clarification:

By the above definition,

The point of concurrence for the three angle bisectors of a triangle is known as incenter of the triangle.

And also in rhombus, the angle bisectors are congruent. So the rhombus has an incenter...

To determine

(b)

To find:

Does a rhombus have a circumcenter.

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