top of page
Geometry worksheet in which students measure sides of triangles to develop the triangle inequality theorem and evaluate inequalities to identify triangles.
Geometry worksheet in which students evaluate inequalities to identify triangles and write the range of possible lengths for the third side of a triangle given the lengths of two sides.

Activity 3.8​

Assignment 3.9

​​Previous
​​Next
​Assignment 4.19

​The Triangle Inequality

 
Objectives
Develop and apply a theorem to determine whether three numbers are the lengths of sides of a triangle.
 
Given the lengths of two sides of a triangle, find the range of lengths for the third side.
 
 
 

About Geometry Worksheet Assignment 4.19:        

 

Assignment 4.19 is an introduction to the triangle inequality theorem.

 

Prerequisite Skills:  Measure sides of triangles (Assignment 1.11).  Verify inequalities containing the < and > signs. 

 

Theorems:      The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

                              The sum of the lengths of the two shorter sides of a triangle is greater than the length of the longest side.

bottom of page