Elementary Geometry For College Students, 7e
7th Edition
ISBN: 9781337614085
Author: Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher: Cengage,
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![### Question 5
**What is the lateral area of the pyramid shown below?**
#### Lateral Area of a Pyramid:
\[ \text{Lateral Area}_{\text{Pyramid}} = \frac{1}{2} PL \]
- \( P_{\text{square}} = 4s \); \( s \) = side length
#### Use the Pythagorean theorem to solve for slant height, \( L \):
\[ 10^2 + L^2 = 26^2 \]
#### Diagram Details:
- The figure is a square pyramid with a square base.
- The side length of the base, \( s \), is 20 ft.
- The vertical height from the base to the apex is 20 ft.
- The slant height, \( L \), is a diagonal distance from the middle of one side of the base to the apex, forming a right-angled triangle with half of the base side (10 ft) and the vertical height (20 ft).
Your response should show all necessary calculations and diagrams.](https://content.bartleby.com/qna-images/question/82a839f4-6217-4972-8779-40aed17e5667/f63182f6-9460-48ac-b273-95f1acc58a3f/b6j66em_processed.jpeg)
Transcribed Image Text:### Question 5
**What is the lateral area of the pyramid shown below?**
#### Lateral Area of a Pyramid:
\[ \text{Lateral Area}_{\text{Pyramid}} = \frac{1}{2} PL \]
- \( P_{\text{square}} = 4s \); \( s \) = side length
#### Use the Pythagorean theorem to solve for slant height, \( L \):
\[ 10^2 + L^2 = 26^2 \]
#### Diagram Details:
- The figure is a square pyramid with a square base.
- The side length of the base, \( s \), is 20 ft.
- The vertical height from the base to the apex is 20 ft.
- The slant height, \( L \), is a diagonal distance from the middle of one side of the base to the apex, forming a right-angled triangle with half of the base side (10 ft) and the vertical height (20 ft).
Your response should show all necessary calculations and diagrams.
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