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s21 - for the definitions of the variables r y z From the...

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Solution to Problem 21 Congratulations to this week’s winner Steven Noto Correct solutions were also received from Ray Kremer, Mike Fitzpatrick, and Yan Fridman. LABELED TRIANGLE Steven’s solution was by far the most simple and elegant, using nothing but simple geometry. Refer to the diagram

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Unformatted text preview: for the definitions of the variables r , y , z . From the diagram of the problem one immediately sees that y + z = 1 2r + z = y (r + z) 2 + (3r + z) 2 = 1 The three equations in the three unknown are easy to solve and give the answer of r = (-1+3^(1/2))/2...
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s21 - for the definitions of the variables r y z From the...

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