Answered: Given any three lengths, it is possible…

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

Given any three lengths, it is possible to draw a triangle. Which of the following scenarios does this statement become false?

a. When the sum of the lengths of the two shorter sides are lesser than the third length.

b. The ratio of the longest line is 1/10 of the sum of the two shorter sides.

c. The ratio of the longest line is 1/4 of the sum of the two shorter sides.

d. When the sum of the lengths of the two shorter sides are greater than the third length.

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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