
To find: The possibility of forming a

Answer to Problem 37PPS
The triangle cannot be drawn.
Explanation of Solution
Given information:
The given sides of the triangle are:
Consider the first length of the triangle as
Represent the value in a range:
Calculate the root of the range.
Estimate the value of
Consider the second length of the triangle as
Represent the value in a range:
Calculate the root of the range.
Estimate the value of
Consider the third length of the triangle as
Represent the value in a range:
Calculate the root of the range.
Estimate the value of
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 using the inequality of triangle.
It is seen the sum of the lengths of any two sides of a triangle is not greater than the third side in this cases.
Hence, the triangle cannot be drawn.
Chapter 5 Solutions
Glencoe Geometry Student Edition C2014
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