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What is the minimum value AS + BS + CS + DS equal to?

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Mathematicians A, B, C and D sit on different sides of a rectangular table measuring 40 by 60. They sit at distances of 10, 15, 8, and 20, respectively, from the corners of the table as shown:

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A salt shaker S is then placed on the table such that the sum of distances AS + BS + CS + DS is a minimum value.
What is the minimum value AS + BS + CS + DS equal to?

posted Aug 6, 2020 by Karan Joglekar

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Thanks Gaurav for sharing...

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