Lessons

1. Basics
 2. Deductive Reasoning
3 - Parallel lines
4 - Congruent Triangles
5 - Quadrilaterals
6 - Inequalities
7 - Similar Polygon
8 - Rt. Triangles
9 - Circles
10 - Constructions
11 - Areas of 2D objects
12 - Areas and Volumes
13 - Coordinates

 

 Inequalities for Two Triangles

 

Objective:

            • Learn about the inequalities for two triangle

 

Lesson 6-3 Inequalities for Two Triangles:

           

Theorem 6-5 (SAS Inequality Theorem)

If two sides of one triangle are congruent to two sides of another triangle, but the included angle of the first triangle is larger than the included angle of the second, then the third side of the first triangle is longer than the third side of the second triangle.

By the SAS inequality theorem, angle A is greater than D

 

Theorem 6-6 (SSS Inequality Theorem)

If two sides of one triangle are congruent to two sides of another triangle, but the third side of the first triangle is longer than the third side of the second, then the included angle of the first triangle is larger than the included angle of the second.

By the SSS inequality theorem, segment BC is longer than segment EF.

 

       

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