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Lesson Plan: Pythagorean Inequality Theorem Mathematics • Second Year of Preparatory School
This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to determine whether an angle in a triangle is acute, right, or obtuse by using the Pythagorean inequality theorem.
Objectives
Students will be able to
- understand that in a triangle with vertices , , and , if
- , then is a right angle,
- , then is an obtuse angle,
- , then is an acute angle,
- determine the type of a triangle (acute, right, or obtuse) by using the Pythagorean inequality theorem, which involves identifying first the greatest angle in the triangle given its side lengths,
- solve geometry problems using the Pythagorean inequality theorem.
Prerequisites
Students should already be familiar with
- acute, right, and obtuse angles,
- the Pythagorean theorem.
Exclusions
Students will not cover
- trigonometry.
