5.7: The Pythagorean Theorem
Definitions:
Pythagorean Triple  A set of nonzero who numbers a,b, and c such that a squared plus b squared equals c squared
Theorems:
Pythagorean Triple  A set of nonzero who numbers a,b, and c such that a squared plus b squared equals c squared
Theorems:
Pythagorean Theorem  In a right triangle, the sum of the squares of the lengths of the legs equals the square of the length of the hypotenuse.
. Converse of Pythagorean Theorem  If the sum of the squares of the lengths of two sides of a triangle is equal to the square of the length of the third side then the triangle is a right triange
Pythagorean Theorem  In triangle ABC, c is the longest of side.
If c squared is greater than a squared + b squared then the triangle is obtuse. If c squared is less than a squared + b squared then the triangle is obtuse. If they are equal, it is a right triangle 

Examples: