In the movie, The Wizard of Oz, when the wizard grants the scarecrow the Doctor of Thinkology degree, the scarecrow recites this geometric proposition:
"The sum of the square roots of any sides of an isoscelese triangle is equal to the square root of the remaining side."
This sounds similar to the Pythagorean Theorem but it is not.
Is it a true statement, or did the scarecrow get a bad brain?
The Scarecrow and Pythagorean Theorem
Look at the isosceles triangle below:
So the statement that the scarecrow recites is never true.