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Sketched alongside is a regular pentagon. (a) Determine the area of one of the triangles in terms of r. Determine the area of the pentagon in terms ofr. (b) (c) Show that r = V2-2 cos 72° (d) Assume that the area of the pentagon equals sin 72°. 2 hine the area of the pentagon

Sketched alongside is a regular pentagon. (a) Determine the area of one of the triangles in terms of r. Determine the area of the pentagon in terms ofr. (b) (c) Show that r = V2-2 cos 72° (d) Assume that the area of the pentagon equals sin 72°. 2 hine the area of the pentagon

Trigonometry (11th Edition)
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Sketched alongside is a regular pentagon. (a) Determine the area of one of the triangles in terms of r. Determine the area of the pentagon (b) in terms of r. (c) Show that r = V2- 2 cos 72° (d) Assume that the area of the р pentagon equals p sin 72°. Determine the area of the pentagon correct to the nearest cm if p=10 cm.
Transcribed Image Text:Sketched alongside is a regular pentagon. (a) Determine the area of one of the triangles in terms of r. Determine the area of the pentagon (b) in terms of r. (c) Show that r = V2- 2 cos 72° (d) Assume that the area of the р pentagon equals p sin 72°. Determine the area of the pentagon correct to the nearest cm if p=10 cm.
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