Chapter 9.2, Problem 19E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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Consider any regular pyramid. Indicate which line segment has the greater length:

**a) **Slant height or apothem of base?

**b) **Lateral edge or slant height?

To determine

**(a)**

**To find:**

The line segment that is greater in length.

Explanation

**Given:**

A regular pyramid.

**Properties Used:**

A pyramid is made by connecting a base to an apex. The base is flat with straight edges, no curves, hence, a polygon and all other faces are triangles.

A regular pyramid is a pyramid whose base is a regular polygon and whose lateral edges are all congruent.

In a regular pyramid with slant height

The apothem

The slant height

In a right-angled triangle, the hypotenuse is the longest side.

**Calculation:**

Considering a regular pyramid with vertex

Since, apothem

To determine

**(b)**

**To find:**

The line segment that is greater in length.

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