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.

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This sounds similar to the Pythagorean Theorem but it is not.
Is it a true statement, or did the scarecrow get a bad brain?
Look at the isosceles triangle below:

So the statement that the scarecrow recites is never true.