Chapter 9.2, Problem 20E

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

*In Exercises 20 and 21, use Theorem 9.2.1 in which the lengths of apothem*
*, altitude*
*, and slant height*
*of a regular pyramid are related by the equation*

In a regular square pyramid whose base edges measure

To determine

**To find:**

The length of its slant height.

Explanation

**Given:**

A regular square pyramid whose base edges measure

**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 altitude/height

The apothem

The slant height

In a regular pyramid, the lengths of the apothem

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

**Calculation:**

Considering a regular pyramid with vertex

Given that base edges measure

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