Answered: An equilateral triangle has a perimeter…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

An equilateral triangle has a perimeter of 12 cm. By joining the midpoints of its
sides with the segments, a second equilateral triangle is formed. This procedure is
continued infinitely for each new triangle that is formed. Find the sum of the
perimeters of all triangles, including the original triangle.

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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