7. Determine the area of a regular hexagon which has sides 8 cm long. A hexagon is a 6-sided polygon which may be divided into 6 equal triangles as shown in the figure. The angle 4 cm subtended at the center of each triangle is 360%6 = 60°. The other two angles in the triangle add up to 120° and are equal to each other. Hence, each of the triangles is equilateral with each angle 60° and each side 8 cm. (Ans: 166.3 cm?) h 8 cm %3D 60° 8 cm

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter7: Locus And Concurrence
Section7.2: Concurrence Of Lines
Problem 8E: a Is it really necessary to construct all three bisectors of the angles of a triangle to locate its...
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7. Determine the area of a regular hexagon which has sides
8 cm long. A hexagon is a 6-sided polygon which may be
divided into6 equal triangles as
shown in the figure. The angle
subtended at the center of each
4 cm
1.
triangle is 360°/6 = 60°. The other
two angles in the triangle add up to
8 cm
120° and are equal to each other.
Hence, each of the triangles is
equilateral with each angle 60° and
each side 8 cm. (Ans: 166.3 cm²)
60°
8cm
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Transcribed Image Text:7. Determine the area of a regular hexagon which has sides 8 cm long. A hexagon is a 6-sided polygon which may be divided into6 equal triangles as shown in the figure. The angle subtended at the center of each 4 cm 1. triangle is 360°/6 = 60°. The other two angles in the triangle add up to 8 cm 120° and are equal to each other. Hence, each of the triangles is equilateral with each angle 60° and each side 8 cm. (Ans: 166.3 cm²) 60° 8cm Zoom
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