# Comparing Angles and Sides in Triangles

## Inequality theorems and ordering angles and sides of triangles.

Levels are CK-12's student achievement levels.
Basic Students matched to this level have a partial mastery of prerequisite knowledge and skills fundamental for proficient work.
At Grade (Proficient) Students matched to this level have demonstrated competency over challenging subject matter, including subject matter knowledge, application of such knowledge to real-world situations, and analytical skills appropriate to subject matter.
Advanced Students matched to this level are ready for material that requires superior performance and mastery.

## Comparing Angles and Sides in Triangles

by CK-12 //basic
Compare sides and angles in triangles.
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## Comparing Angles and Sides in Triangles

This concept teaches students the relationship between opposite angles and sides in triangles and how to use this relationship to compare triangles.
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## Comparing Angles and Sides in Triangles

Comparing Angles and Sides in Triangles Interactive
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## Comparing Angles and Sides Principles

This video gives more detail about the mathematical principles presented in Comparing Angles and Sides.
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## Comparing Angles and Sides Examples

This video shows how to work step-by-step through one or more of the examples in Comparing Angles and Sides.
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## Comparing Angles & Sides in Triangles Principles - Basic

by CK-12 //basic
This video provides the student with a walkthrough on comparing angles and sides in triangles.
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## Comparing Angles & Sides in Triangles Examples - Basic

by CK-12 //basic
This video provides the student with a walkthrough of one or more examples from the concept " Comparing Angles & Sides in Triangles"
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## Proof: The Angle of a Triangle Opposite The Longest Side is the Largest Angle

by CK-12 //basic
Proves if the one side of a triangle is longer than another, then the angle opposite the longer side is greater than the angle opposite the shorter side.
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• Critical Thinking

## Comparing Angles and Sides in Triangles Discussion Questions

A list of student-submitted discussion questions for Comparing Angles and Sides in Triangles.
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• Real World Application

by Bill Cheney //basic
Use your knowledge of triangles to help someone in Cabo San Lucas paddleboard to the Arch and back without getting in trouble with his girlfriend.
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• Real World Application

## The Secret of the Kitchen Triangle

Find out how triangles are incorporated into the design of home kitchens.
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• Real World Application

## Triangle Sum Theorem

Do the angles in a triangle always add up to 180 degrees? How are the lengths of the sides of a triangle controlled by the sizes of the angles in Spherical Geometry?
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• Study Guide