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Answer 1 · 2017-05-06T03:35:11

If the field is a major league baseball diamond with 90 foot bases the answer is 127.28 ft.

If the field is a little league or softball diamond with 60 foot bases the answer is 84.85 ft.

The Baseball diamond is a square with either 90 foot baseline or 60 foot baselines.

The diagonal of the square from home plate to second base forms a right triangle.

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We can use the Pythagorean Theorem to solve

#a^2 + b^2 = c^2#

Where #a# and #b# represent the sides and #c# represents the diagonal (hypotenuese)

#90^2 + 90^2 = d^2#

#8100 + 8100 = d^2#

#16200 = d^2#

#sqrt(16200) = d#

#d = 127.28 ft#

for the smaller field the answer would be

#60^2 + 60^2 = d^2#

#3600 + 3600 = d^2#

#7200 = d^2#

#sqrt(7200) = d#

#d = 84.85 ft#