A baseball diamond is a square with sides of 90 feet. What is the shortest distance, to the nearest tenth of a foot, between first base and third base?

1 Answer
Feb 14, 2016

The distance between first and third base is the diagonal of the square ...


The length of the diagonal of a square with sides x is #xsqrt2#. [You can use the Pythagorean theorem to prove this!]

For this problem, length of diagonal #=90sqrt2~~127.3# feet

hope that helped

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source: http://www.coolmath.com/reference/squares#The_diagonal_of_a_square