Lesson plan

# Apply the relationship of the sides of right triangles by using the Pythagorean Theorem

teaches Common Core State Standards CCSS.Math.Content.HSG-SRT.C.8 http://corestandards.org/Math/Content/HSG/SRT/C/8

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Big Ideas: The side lengths of right triangles have a special relationship such that only right triangles will make the Pythagorean Theorem true. This lesson builds on the application of the Pythagorean Theorem students learned in the eighth grade. This task has students develop a deeper understanding that the sides of all right triangles have special relationships. Students will be able to find unknown side lengths for right triangles, determine if a triangle is a right triangle based upon the side lengths, and determine possible side lengths for a right triangle given only one side length. This builds toward an understanding of the connection between the ratios of side lengths and basic trigonometric functions.