Why does Scarecrow in The Wizard Of Oz get the Pythagorean Theorem wrong?

Question

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?


Answer

There is a version of the script that had more to say to make it obvious that it was intentional, according to:

Hollywood Science: The Next Generation, From Spaceships to Microchips

(ISBN 331954215X, 9783319542157; Kevin R. Grazier, Stephen Cass; Springer, 2017)

So I went back to the scripts I’ve got here, and we can specially credit Noel Langley with that part of the script. I’ve got a draft dated April 18, 1938 and these are changes to a script he already did.

           SCARECROW
The sum of the square roots of any 
two sides of an isosceles triangle
 is equal to the square root of the
 remaining side: H-2-O plus H-2-S-
O-4 equals H-2-S-O-3 using pi-r
 squared as a common denominator. 
Oh joy! Oh rapture! What a brain!

—perhaps the blend of chemistry with geometry in that manner was too obvious. That line does, however, remove much of the doubt that the Scarecrow’s faulty exposition on the nature of the isosceles triangle is intentional on the part of the writers, and it also makes it clear that, in essence, the Wizard did very little.



Answered By - blobbymcblobby

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