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PYTHAGORAS' THEOREM For a mnemonic recalling the Greek mathematician's formula governing the lengths of each side of a rightangled triangle: "...The squaw on the hippopotamus is equal to the sum of the squaws on the other two hides!" (ie. hypotenuse² = base² + height²) This mnemonic is the punchline of a very old joke, but its serves its purpose extremely well! If you've never heard the joke before, there were 3 Indians who met to trade wives, and the first Indian told his wife to sit on a blanket made from the skin of a deer, while the second Indian placed his wife on a hide made of buffalo... (etc)! The hypotenuse is the term for the side opposite the 90° rightangle. The theorem enables one to find the length of any side given the lengths of the other two sides, eg. height=²/(hypotenuse²base²). Other rightangle triangle solutions are obtained by using sine, cosine and tangent ratios.

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