You remember in the Wizard of Oz when the Scarecrow receives his brain...

He is just as stupid has when they started this their trip. After receiving his brain, the Scarecrow says

"The sum of the square roots of any two sides of an isosceles triangle is equal to the square root of the remaining side."This is a misquote of the Pythagorean theorem. The Scarecrow is wrong in three ways:

- It should be a right triangle, not an isosceles triangle.
- It should be "the squares" of the sides, not "the square roots" of the sides.
- Order matters. Only the sum of the squares of the smaller two sides add together to be the square of the longest side.

"The sum of the squares of the short sides of a right triangle is equal to the square of the longest side."

(Source: Wikipeida Article on Pythagorean theorem)

It's the sum of the squares of two non-hypotonous sides is equal to the square of the hypotonous.

ReplyDeleteSame difference.

ReplyDelete