Garfield trapezoids

(suggested new terminology)
Definition. A Garfield trapezoid is a trapezoid such that there exist a right triangle ABC, with right angle at C, such that one side of the trapezoid is congruent to side a, one side is congruent to side b, and one side is congruent to a + b.
(Note: As James Garfield showed, by computing the area of an arbitrary Garfield trapezoid in two different ways, one obtains a proof of the Pythagorean Theorem.)
keywords: Geometry, construction, Mathematics, U.S. president