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ASK YOUR TEAC Use the following theorem to answer the question. In a regular pyramid, the lengths of the apothem a of the base, the altitude h, and the slant height l satisfy the Pythagorean Theorem; that is, {2 = a? + h2. In a regular hexagonal pyramid whose base edges measure 8/3 in., the apothem of the base measures 12 in. If the slant height of the pyramid is 20 in., find the length (in inches) of its altitude. in

ASK YOUR TEAC Use the following theorem to answer the question. In a regular pyramid, the lengths of the apothem a of the base, the altitude h, and the slant height l satisfy the Pythagorean Theorem; that is, {2 = a? + h2. In a regular hexagonal pyramid whose base edges measure 8/3 in., the apothem of the base measures 12 in. If the slant height of the pyramid is 20 in., find the length (in inches) of its altitude. in

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.
Chapter9: Surfaces And Solids
Section9.2: Pyramids, Area, And Volume
Problem 31E
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ASK YOUR TEAC Use the following theorem to answer the question. In a regular pyramid, the lengths of the apothem a of the base, the altitude h, and the slant height l satisfy the Pythagorean Theorem; that is, {2 = a2 + h2. In a regular hexagonal pyramid whose base edges measure 8/3 in., the apothem of the base measures 12 in. If the slant height of the pyramid is 20 in., find the length (in inches) of its altitude. in
Transcribed Image Text:ASK YOUR TEAC Use the following theorem to answer the question. In a regular pyramid, the lengths of the apothem a of the base, the altitude h, and the slant height l satisfy the Pythagorean Theorem; that is, {2 = a2 + h2. In a regular hexagonal pyramid whose base edges measure 8/3 in., the apothem of the base measures 12 in. If the slant height of the pyramid is 20 in., find the length (in inches) of its altitude. in
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