Question

A base ball diamond is square.The distance from home plate to first base is 90 feet.what is the distance from home plate to second base?

127

81

19

13

Answer 1

Because it is square, the distance from home to first base is the same as first base to second base.

Home to First is one side of a right triangle, first to second is the second side of the right triangle and then home to second base would be the hypotenuse of a right triangle.

Using the Pythagorean Theorem we can solve for the hypotenuse:

Let C = the hypotenuse:

90^2 + 90^2 = c^2

8100 + 8100 = c^2

16200 = c^2

c = √16200

c = 127.279 feet, round to 127 feet.