| | #3 (permalink) | |
| Man, I just finished like 3 semesters worth of algebra and I'm not even sure I could solve that problem. Math gets dumped from my brain faster than last night's dreams. I'd give every shred of artistic ability I have to possess a super, Steven Hawking-like math brain. | ||
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| | #6 (permalink) | ||||||||||||||||||||||||
Or if you want to be difficult about it, you use the Pythagorean Theorem to solve: A^2 + B^2 = C^2 16 + 9 = C^2 25 = C^2 5 = C At least the "blonde" gave a correct answer Nerdz. ![]() | |||||||||||||||||||||||||
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| | #8 (permalink) | ||||||||||||||||||||||||
BINGO! Mr Pythagorus has the answer! "The Square of the hypoteneuse is equal to the sum of the square of the other two sides" The hypoteneuse being the side opposite the right angle in a right angled triangle. Ive got a neat little proof for it as well... Ok... so there are 2 squares... a green one and a yellow one. Yellow is c x c in size Green is (a + b) x (a + b) in size The yellow square is arranged so that its four corners are touching the sides of the green square. This creates the 4 identical triangles you can see is green. This gives what you can see above. Now... the mathsy bit ![]() The area of the yellow square is c * c = c^2 The area of the green square is (a + b) * (a + b) = (a + b)^2 = a^2 + 2ab + b^2 As you can see the area of the green square is made up of the yellow square plus four identical triangles. Formula for the area of a triangle? 1/2 * base * height SO... area of one of those triangles = 1/2 * a * b = ab/2 4 of those triangle would be 4 * ab/2 = 2ab What we can now say is that "Area of green" = "Area of yellow" + "area of 4 triangles" a^2 + 2ab + b^2 = c^2 + 2ab All that reamains is to subtract 2ab from each side... Et Voila! a^2 + b^2 = c^2 or as our friend Mr Pythagarus put it... [quote=Pythagarus] "The Square of the hypoteneuse is equal to the sum of the square of the other two sides" [quote] | |||||||||||||||||||||||||
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| | #9 (permalink) | |
| If I recall correctly, the Pythagorean Theorem wasn't created by the man himself but rather a group of more modern mathematicians that decided to name it after him in recognition of his contributions to math as we know it. Last edited by Hibiki; 19-May-06 at 07:59 PM.. | ||
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