Concept Check Work each problem.
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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