A home-made baseball diamond is in the shape of a square. The distance from base to base is 80 feet because of space constraints

Question

3 years ago

11

A home-made baseball diamond is in the shape of a square. The distance from base to base is 80 feet because of space constraints

. How far does a catcher throw the ball from home plate to second base?
A. 80 feet
B. 40 feet
C. 40 square root of 2 feet
D. 80 square root of 2 feet

Mathematics

2 answers:

harkovskaia [24] · Answer 1 · 2022-08-17T05:29:07+03:00

harkovskaia [24]3 years ago

8 0

The Awnser is D) 80 square root of 2 feet

Lelu [443] · Answer 2 · 2022-08-17T03:14:28+03:00

Call x the distance from home plate to second base.

There is a right triangle formed by homeplate, first base and second base. The sides of this triangle are 80 feet and 80 feet. The hypothenuse meets Pythagoras theorem:

x^2 = 80^2 + 80^2 = 2(80)^2
x = 80√2

Then the answer is the option D.