After receiving a "brain," the Scarecrow in The Wizard of Oz famously says the following:
“The sum of the square roots of any two sides of an isosceles triangle is equal to the square root of the remaining side!”
Which as generations of know-it-alls have noted, is incorrect. That's a right triangle, you idiot!
Over the years I have a number of conflicting explanations for the mistake, all treated as the real reason. Among them:
- this was intentional, and is intended to show the scarecrow is in fact as dim as always
- this was intentional, because the filmmakers thought the word isosceles sounded "smarter"
- this was mistake on the part of the actor, and the script said "right triangle."
- this was a mistake on the part of the filmmakers
Is there any firm evidence or statements from those involved about which explanation is correct?