Question

The distance between each base on a field is 90 ft. How far does a catcher have to throw the ball from home plate to second base? i want the equation pls

Answer 1

Step-by-step explanation:

A baseball field is in the shape of a square (or diamond).  Home plate and second base are opposite corners of each other.  So the distance is equal to the diagonal of the square.

Use Pythagorean theorem to find the diagonal, or use properties of a 45-45-90 triangle.

Using Pythagorean theorem:

c² = a² + b²

c² = (90 ft)² + (90 ft)²

c = 90√2 ft

c ≈ 127 ft