In the 1939 movie The Wizard of Oz, upon being presented with a Th.D. (Doctor of Thinkology), the Scarecrow proudly exclaims, "The sum of the square roots of any two sides of an isosceles triangle is equal to the square root of the remaining side."

Did the Scarecrow get the Pythagorean Theorem right? what can you point out and describe the errors in the Scarecrow's statement.