Construct a square with each side of length k. (a) Draw a

Chapter 2, Problem 78

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Construct a square with each side of length k. (a) Draw a diagonal of the square. What is the measure of each angle formed by a side of the square and this diagonal? (b) What is the length of the diagonal? (c) From the results of parts (a) and (b), complete the following statement: In a 45 45 right triangle, the hypotenuse has a length that is ________ times as long as either leg.

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