Question

A baseball field in the shape of a square is shown. the corners are labeled home plate, first base, second base, and third base. the distance between home plate and first base is 90 feet. a baseball field is in the shape of a square. the distance between each pair of bases along the edge of the square is 90 feet. what is the distance between home plate and second base? startroot 2 endroot feet

Answer 1

A baseball field is in the shape of a square. The distance between each pair of bases along the edge of the square is 90 feet. What is the distance between home plate and second base?

(90) StartRoot 2 EndRoot feet

Explanation:

Answer 2

90√2 feet

Explanation:

The geometry of the problem can be modeled by a right triangle with sides 90 feet. The length of the hypotenuse is the distance from home plate to 2nd base. The Pythagorean theorem tells you that distance (c) is ...

c² = a² +b²

c² = (90 ft)² +(90 ft)² = 8100 ft² +8100 ft²

c² = 16200 ft²

c = √16200 ft = 90√2 ft

The distance between home plate and second base is 90√2 feet.