5. Consider the regular pentagon, inscribed in the circle below. The circle has radius 2.5cm and the pentagonhas area 15cm2. The center of the circle is marked with a dot.a) The pentagon is comprised of 5 congruent triangles (draw a line from the center of the circle to eachvertex of the pentagon). What is the area of one of those triangles, and what are the interior angles of oneof those triangles?

Answered: Image /qna-images/answer/6b034b7b-b180-470a-a814-4edd94ebafc0.jpg

Answered: 5. Consider the regular pentagon,…

5. Consider the regular pentagon, inscribed in the circle below. The circle has radius 2.5cm and the pentagon has area 15cm². The center of the circle is marked with a dot.

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 5E: a What is the general name of the point of concurrence for the three perpendicular bisectors of the...

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Question

5. Consider the regular pentagon, inscribed in the circle below. The circle has radius 2.5cm and the pentagon
has area 15cm2. The center of the circle is marked with a dot.
a) The pentagon is comprised of 5 congruent triangles (draw a line from the center of the circle to each
vertex of the pentagon). What is the area of one of those triangles, and what are the interior angles of one
of those triangles?

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