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Geometry worksheet to help students develop inequality theorems to determine the relation (greater, less) among measures of sides and angles in triangles.
Geometry worksheet to help students apply inequality theorems to compare (greater, less) measures of sides and angles in triangles.

Activity 3.8​

Assignment 3.9

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​Assignment 4.12

​Triangle Side and Angle Inequalities

 
Objectives
Measures the sides and angles of a triangles to develop inequality theorems.
 
Apply the theorems to determine the relation (greater, less) among measures of sides and angles in triangles.
 
 
 
 

About Geometry Worksheet Assignment 4.12:     

 

Assignment 4.12 is an introduction to the inequalities relating side lengths and angle measures in triangles.

 

Prerequisite Skills:  Measure sides of triangles (Assignment 1.11).  Measure angles in triangles (Assignment 2.6).  Calculate measures of angles in triangles (Assignment 4.8)..    

 

Definition:  In a triangle, an angle and a side are opposite each other if the vertex of the angle is not an endpoint of a side.

 

Theorem:  In a triangle, the longest side is opposite the angle with the greatest measure.  The shortest side is opposite the angle with the least measure.

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