Chapter 9.CR, Problem 8CR

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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A regular hexagonal pyramid has a base whose sides are of length

To determine

**To find:**

The length of the height of the regular hexagonal pyramid.

Explanation

**Formula used:**

Pythagorean Theorem:

In a regular pyramid, the lengths of the apothem

**Given:**

A regular hexagonal pyramid has a base whose sides are of length

**Calculation:**

Let us consider regular hexagonal pyramid base of the figure,

The above figure shown that the right triangle to any side has length

The regular hexagonal has a triangle is an equilateral triangle.

An equilateral triangle is also equiangular that is all three internal angles are also congruent to each other and are each

A side of the regular hexagonal has an apothem length

Then the slant height is

Also, the slant height is the hypotenuse of a right triangle with legs equal to the lengths of the altitude of the pyramid and the apothem of the base

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