To find: The possibility of forming a
Answer to Problem 35PPS
The triangle can 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 first 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
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
It is seen the sum of the lengths of any two sides of a triangle is greater than the third side in all cases.
Hence, the triangle can be drawn.
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