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Geometry Level 3

The coordinates of X , Y , Z X, Y, Z are ( 6 , 6 ) , ( 4 , 1 ) , ( 0 , k ) (6,6), (4,1), (0,k) respectively. What is the value of k k that makes the length of segment X Z XZ plus the length of segment Y Z YZ as small as possible?


The answer is 3.

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