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A comprehensive geometry curriculum
Geometry for School and Home
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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