drendon8642 drendon8642
  • 16-06-2022
  • Mathematics
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There are 60 feet between the bases on a softball diamond. How far does a catcher throw drone home plate to second base

There are 60 feet between the bases on a softball diamond How far does a catcher throw drone home plate to second base class=

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rdacoder
rdacoder rdacoder
  • 16-06-2022

Answer: [tex]12\sqrt{5}[/tex]

Required theorem:

Pythagorean theorem = [tex]a^2 + b^2=c^2[/tex]

In other words, one side length squared + another side length squared = the middle lined squared.

Step-by-step explanation:

[tex]60^2+60^2 = c^2\\\\360+360=c^2\\\\720=c^2\\\\\ \sqrt{c^2} =\sqrt{720}\\\\c=+/- 12\sqrt{5}[/tex]

We can only have a positive distance so your final answer is :

[tex]12\sqrt{5}[/tex]

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