Would You Rather Listen to the Lesson?
Angle Side Theorem - Inequalities in One Triangle
“If one side of a triangle is longer than another side, then the angle opposite the longer side is larger than the angle opposite the shorter side.”
Sample Problem 1:
Write the angles in order from smallest to largest
Converse of Angle Side Theorem - Inequalities in One Triangle
“If one angle of a triangle is larger than another angle, then the side opposite the larger angle is longer than the side opposite the smaller angle.”
Sample Problem 2:
Write the sides in order from shortest to longest.
Exterior Angle Inequality Theorem
“The measure of an exterior angle of a triangle is greater than the measure of either of its remote interior angles.”
Sample Problem 3:
Determine the smallest and the largest angles.
Triangle Inequality Theorem
“The sum of the lengths of any two sides of a triangle is greater than the length of the third side.”
Sample Problem 4:
A triangle has one side of length 12 and another of length 8. Identify the possible lengths of the third side.
Here is your Free Content for this Lesson!
Inequalities in One Triangle - Word Docs & PowerPoints
To gain access to our editable content Join the Geometry Teacher Community!
Here you will find hundreds of lessons, a community of teachers for support, and materials that are always up to date with the latest standards.
Inequalities in One Triangle Worksheet - PDFs
Assignment Teacher Edition - (Members Only)
Bell Work Teacher Edition - (Members Only)
Exit Quiz Teacher Edition - (Members Only)
Guided Notes SE - ( FREE )
Lesson Plan - (Members Only)
Online Activities - (Members Only)
Want Access to the Rest of the Materials?
To download the rest of the materials for this lesson and get updates via email when new lessons come out simply click the image below to Get All of Our Lessons!