Answered: right pyramid with a regular hexagon…

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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Question

A right pyramid with a regular hexagon base has a height of 3 units.

If a side of the hexagon is 6 units long, then the apothem is √3 units long.

The slant height is the hypotenuse of a right triangle formed with the apothem and the .

Using the Pythagorean theorem c = to find the slant height results in a slant height of units.

The lateral area is square units.

Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

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