Abaseball diamond has the shape of a square in which the distance from home plate to second base is approximately 127 ½ feet. approximate the distance between the bases.

(127.5√2)/2 (127.5√2 over 2)

Step-by-step explanation:

Because a baseball forms a square, the diagonal from the home plate to second base forms the hypotenuse to an isosceles right triangle. In an isosceles right triangle, if the legs are equal to x, then the hypotenuse is equal to x times √2. This means that if 127.5 is equal to x√2, you can divide by √2 to get x. This leaves you with 127.5/√2, but because you have to get rid of the radical number, you multiply both the numerator and denominator by √2. This leaves you with (127.5√2)/2

step-by-step explanation:

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