Wizard of Oz

In the movie "The Wizard of Oz", the Wizard of Oz bestowes a degree of "Thinkology" upon the Scarecrow. Can you drag points A, B, and C to find an example that would satisfy the Scarecrow's claim?

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Prove why the Scarecrow's formula will never work.
Can you rewrite the Scarecrows claim into a different formula that does work? Prove your formula works by creating a triangle that satisfies your claim!

Michael Seiler, Created with GeoGebra