Question

how can you prove or disprove the scarecrow's statement of the pythagorean thereom?

Answer 1

"The sum of the square roots of any two sides of an isosceles triangle is equal to the square root of the remaining side"
always false

Answer 2

But how do you know?

Answer 3

i went to a talk at a math conference and the guy proved it
i forget how, but i don't think it was that difficult

Answer 4

in any case it is not pythagoras at all

Answer 5

ok thankyhu!:)

Answer 6

If you say the segments creating the vertex have length a, and the base has length b. Just try writing the statement of each:
sqrt(a) + sqrt(a) = sqrt(b)
sqrt(a) + sqrt(b) = sqrt(a)
It seems you end up with the base equal to zero and 2sqrt(a) = sqrt(b) = 0.