
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
Additional Math Textbook Solutions
Basic Business Statistics, Student Value Edition
Calculus: Early Transcendentals (2nd Edition)
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
Introductory Statistics
A First Course in Probability (10th Edition)
- Can someone help me with this please?arrow_forwardMariela is in her classroom and looking out of a window at a tree, which is 20 feet away. Mariela’s line of sight to the top of the tree creates a 42° angle of elevation, and her line of sight to the base of the tree creates a 31° angle of depression. What is the height of the tree, rounded to the nearest foot? Be sure to show your work to explain how you got your answer.arrow_forward1arrow_forward
- 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

