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Lateral Area pyramid = PL PSquare=4s; s = side length Use the pythagorean theorem to solve for slant heigh, L 10²+L²=26² 26 ft. 20 ft. 20 ft.

Lateral Area pyramid = PL PSquare=4s; s = side length Use the pythagorean theorem to solve for slant heigh, L 10²+L²=26² 26 ft. 20 ft. 20 ft.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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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.
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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