Question

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?

Hint: the answer will be a 4 digit number, it might include decimals it might not i dunno

Answer 1

127.3 feet

Explanation:

Use Pythagorean Theorem which says

leg^2+leg^2=hyp^2

90^2+90^2= c^2

8100 +8100=c^2

16200 = c^2

sqrt16200 = c

c ~= 127.27922

Round to one decimal place.

c ~= 127.3 feet

OR, use the shortcut of Special Right Triangles, 45°-45°-90° where, the long side (hypotenuse) is the leg•sqrt2

The legs are 90.

So, the long side is 90•sqrt2

~= 127.27922

~= 127.3 feet

see image.