
To find: The range of the length of the unknown.

Answer to Problem 26PPS
The range of the unknown length is
Explanation of Solution
Given information:
The given sides of the
Consider the unknown length as x .
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
Calculate the range of
Consider the third side of the triangle as
Calculate the range of
Consider the third side of the triangle as
Calculate the range of
From the above range, find the range of x .
Hence, the range of the unknown length is
Chapter 5 Solutions
Geometry, Student Edition
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