Using Models & Diagrams to Explain the Pythagorean Theorem

T.i.P.S.

Students must use a variety of representations including but not limited to models, diagrams, and pictures to explain the relationship between the sides of a triangle in the Pythagorean Theorem. Students should know that the hypotenuse is always the longest side of the right triangle which is represented by c. The legs of the triangle are represented by a and b, using the formula a2 + b2 = c2. Students should also be able to use graph paper to show the Pythagorean Theorem. Given any variable used in a triangle, students should be able to write the Pythagorean Theorem using the indicated variables. 

Example

The following is an representation/example of the Pythagorean Theorem. 

Which of the following could also be used as an example of the Pythagorean Theorem?

Hint
Possible Solution

TEKS

Supporting Standard 8.6 Expressions, equations, and relationships. The student applies mathematical process standards to develop mathematical relationships and make connections to geometric formulas. The student is expected to:
(C) use models and diagrams to explain the Pythagorean theorem

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