To find: The range of measure of the length of third side of the
Answer to Problem 14PPS
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 the range of
Consider the second side of the triangle as
Check the range of
Consider the first side of the triangle as
Check the range of
From the above range of, find the range of x .
Hence, the range of the third side of the triangle is
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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