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. The slant height of the pyramid is 20 in. If the length of the altitude h is to be found using the formula in the theorem, determine the values (in inches) of the variables { and a. in in Find the length (in inches) of the altitude of the pyramid. in

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. The slant height of the pyramid is 20 in. If the length of the altitude h is to be found using the formula in the theorem, determine the values (in inches) of the variables { and a. in in Find the length (in inches) of the altitude of the pyramid. in

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 37E

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