cagle54 cagle54
  • 01-11-2018
  • Mathematics
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what is the length of EF in the right triangle below?

what is the length of EF in the right triangle below class=

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gmany
gmany gmany
  • 01-11-2018

Use the Pythagorean theorem:

[tex]|DF|^2+|EF|^2=|DE|^2[/tex]

We have |DF| = 12 and |DE| = 19. Substitute:

[tex]12^2+|EF|^2=19^2\\\\144+|EF|^2=361\qquad|-144\\\\|EF|^2=217\to|EF|=\sqrt{217}[/tex]

Answer: [tex]C.\ \sqrt{217}[/tex]

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