how to teach inequalities in one triangle

Inequalities in One Triangle

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This lesson is on Triangle Inequalities (Specifically Inequalities in One Triangle). There is a video lesson at the bottom of the post to show your class. This should give you a little extra time to get situated and back into the swing of things before Christmas Break!

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.”

Inequalities in One Triangle - Angle Side Theorem

Sample Problem 1:

Write the angles in order from smallest to largest

Angel Side Theorem - Angle Side Theorem - Triangle Inequalities - 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.”

CONVERSE OF ANGLE – SIDE THEOREM - Worksheet and Guided Notes

Sample Problem 2:

Write the sides in order from shortest to longest.

Converse of Angle Side Theorem - Sample Problem 2 - Guided Notes - Worksheet - Quiz

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.”

Exterior Angle Inequality Theorem - Worksheet - Guided Notes - Quiz

 

Sample Problem 3:

Determine the smallest and the largest angles.

EXTERIOR ANGLE INEQUALITY THEOREM - Sample Problem - Worksheet Guided Notes - Quiz

Triangle Inequality Theorem

“The sum of the lengths of any two sides of a triangle is greater than the length of the third side.”

Triangle Inequality Theorem - Worksheet - Guided Notes - Quiz

Sample Problem 4:

A triangle has one side of length 12 and another of length 8. Identify the possible lengths of the third side.

TRIANGLE INEQUALITY THEOREM

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Inequalities in One Triangle Worksheet - PDFs

5-6 Assignment - Inequalities in One Triangle - SE ( FREE )

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5-6 Bell Work - Inequalities in One Triangle - SE ( FREE )

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5-6 Exit Quiz - Inequalities in One Triangle - SE ( FREE )

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5-6 Guided Notes TE - Inequalities in One Triangle ( FREE )

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5-6 Slide Show - Inequalities in One Triangle ( FREE )

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Inequalities in One Triangle Worksheet
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