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Given equilateral triangle ABC with an apothem of length 3 cm. If point P is the center. Find: a. length AP b. length of the side c. the area.

Given equilateral triangle ABC with an apothem of length 3 cm. If point P is the center. Find: a. length AP b. length of the side c. the area.

Elementary Geometry for College Students
Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter3: Triangles
Section3.CT: Test
Problem 16CT
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Given equilateral triangle ABC with an apothem of length 3 cm. If point P is the center. Find: a. length AP b. length of the side c. the area. Given square ABCD with a diagonal length of 24 inches. Find: a. the apothem b. area of the square. Given regular hexagon ABCDEF with a side length of 8 feet. If point P is the center. Find: a. length AP b. the apothem c. the area. Given regular pentagon ABCDE with side length of 10 cm. Find: a. the apothem b. the area The US Pentagon is a regular pentagon whose outer walls are each 921 feet in length. a. Find the area, to the nearest square foot, covered by this enormous building, including the center courtyard. b. Find the distance, to the nearest foot, from the west entrance, A, to the eastern vertex point, B. Assume A is the base of the apothem.
Transcribed Image Text:Given equilateral triangle ABC with an apothem of length 3 cm. If point P is the center. Find: a. length AP b. length of the side c. the area. Given square ABCD with a diagonal length of 24 inches. Find: a. the apothem b. area of the square. Given regular hexagon ABCDEF with a side length of 8 feet. If point P is the center. Find: a. length AP b. the apothem c. the area. Given regular pentagon ABCDE with side length of 10 cm. Find: a. the apothem b. the area The US Pentagon is a regular pentagon whose outer walls are each 921 feet in length. a. Find the area, to the nearest square foot, covered by this enormous building, including the center courtyard. b. Find the distance, to the nearest foot, from the west entrance, A, to the eastern vertex point, B. Assume A is the base of the apothem.
Honeybee nests, called honeycombs, are constructed to form hexagonal grids. The cells measure 5 mm from vertex to vertex. The illustration below shows 36½ cells. Assuming the cells to be regular hexagons, find the area of the cells shown in the illustration, to nearest square mm. The minimum size of a stop sign is a regular octagon measuring 30 inches across. Find the area of this stop sign to the nearest tenth of a square inch. 30" STOP MathBits A 6-sided regular polygon (hexagon) is inscribed in a circle of radius 10 cm, find the length of one side of the hexagon.
Transcribed Image Text:Honeybee nests, called honeycombs, are constructed to form hexagonal grids. The cells measure 5 mm from vertex to vertex. The illustration below shows 36½ cells. Assuming the cells to be regular hexagons, find the area of the cells shown in the illustration, to nearest square mm. The minimum size of a stop sign is a regular octagon measuring 30 inches across. Find the area of this stop sign to the nearest tenth of a square inch. 30" STOP MathBits A 6-sided regular polygon (hexagon) is inscribed in a circle of radius 10 cm, find the length of one side of the hexagon.
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