Question

On a little league baseball diamond, 1st base,2nd base,3rd base, and home plate form a square. the ball is thrown from home to 2nd base and then from 2nd base to 1st base. How many feet has the ball been thrown?

75√2
160√2
240√2
80+80√2​

Answer 1

80+80√2​

Explanation:

Between home, 1st base and 2nd base a right triangle is made, where the distance between home and 2nd base is the hypotenuse (h). Then, from Pythagorean theorem:

h² = 80² + 80²

h = √(2*80²)

h = √2*√(80²)

h = 80√2​

Distance from 2nd base to 1st base: 80 m

So, the ball has been thrown 80 + 80√2​ ft