91Ó°ÊÓ

In the 1939 movie The Wizard of \(O z,\) upon being presented with a Th.D. (Doctor of Thinkology), the Scarecrow proudly exclaims, "The sum of the square roots of any two sides of an isosceles triangle is equal to the square root of the remaining side." Did the Scarecrow get the Pythagorean Theorem right? In particular, describe four errors in the Scarecrow's statement. (THE IMAGES CANNOT COPY)

Determine whether each statement "makes sense" or "does not make sense" and explain your reasoning. I've noticed that in mathematics there is a connection between topics, such as using the Pythagorean Theorem to derive the distance formula.

Llist the numbers from each set that are: (A). rational numbers; (B). irrational numbers; (C). real numbers; (D). not real numbers. (Hint: Your answer to each question in Exercise 85 should be "no." $$[-\sqrt{9},-\sqrt{7}, \sqrt{-9}, \sqrt{-7}, \sqrt{0}, \sqrt{7}, \sqrt{9}]$$