The formula for Euclidean distance between two points is derived from this theorem. James Garfield drew a trapezoid to begin his proof of this theorem. Sets of positive integers that satisfy this formula are known as namesake (*) "triples," including 3, 4, and 5. For 10 points, name this geometric theorem, named for an ancient Greek mathematician, 
The formula for Euclidean distance between two points is derived from this theorem. James Garfield drew a trapezoid to begin his proof of this theorem. Sets of positive integers that satisfy this formula are known as namesake (*) "triples," including 3, 4, and 5. For 10 points, name this geometric theorem, named for an ancient Greek mathematician, that compares the sides of a right triangle, often written as a squared plus b squared equals c squared.
The formula for Euclidean distance between two points is derived from this theorem.
Pythagorean theorem (prompt on "a squared plus b squared equals c squared" before mentioned)