Question

select all the correct answers. the area of a baseball field bounded by home plate, first base, second base, and third base is a square. if a player at first base throws the ball to a player at third base, what is the distance the player has to throw? a. 16,200 feet b. $sqrt{180}$ feet c. $sqrt{16,200}$ feet d. 180 feet

Explanation:

Step1: Identify right - triangle

The square forms a right - triangle with sides 90 feet.

Step2: Apply Pythagorean theorem

Let \(a = b=90\), then \(c=\sqrt{a^{2}+b^{2}}=\sqrt{90^{2}+90^{2}}=\sqrt{8100 + 8100}=\sqrt{16200}\).

Answer:

C. \(\sqrt{16,200}\) feet