The possibility of forming a
Answer to Problem 1CYU
No a triangle will not be formed with the given side lengths.
Explanation of Solution
Given information:
The given sides of the triangle are:
Consider the inequality of triangle theorem:
The sum of the lengths of any two sides of a triangle should be greater than the third side.
Consider the third side of the triangle as
Check if
Consider the third side of the triangle as
Check if
Consider the third side of the triangle as
Check if
As the side of the third length is greater than the sum of the first and second, so the triangle can be formed with the given sides.
Hence, a triangle will not be formed with the sides
Chapter 5 Solutions
Geometry, Student Edition
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- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning