quiz8 - a 2 b 2 = c 2 where a and b are the lengths of the...

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Math 131 March 29, 2007 Quiz 6 due April 12, 2007 Instructions: Do all of the problems fully. Make sure your name and the time of your class (i.e. 9:30 or 2:30) are on every sheet which you turn in. You must offer explanations/justifications for your answers in order to receive credit. 1. Complete problem 4 from section 11.1. 2. Complete problem 4 from section 11.2. 3. As we have discussed, if you have a right triangle, then
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Unformatted text preview: a 2 + b 2 = c 2 , where a and b are the lengths of the legs, and c is the length of the hypotenuse. Is the converse true? That is, suppose you have a triangle with sides a, b, c and a 2 + b 2 = c 2 . Is it the case that this triangle must be a right triangle? If it is true, right down a proof. If it is not true, give a counterexample....
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