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.