duece7 duece7
  • 15-12-2018
  • Mathematics
contestada

what is the length of ab?

what is the length of ab class=

Respuesta :

gmany
gmany gmany
  • 28-12-2018

Look at the picture.

We must use the Pythagorean theorem two times.

first time:

[tex]d^2=4^2+6^2\\\\d^2=16+36\\\\d^2=52\to d=\sqrt{52}[/tex]

second time:

[tex]AB^2=1^2+(\sqrt{52})^6\\\\AB^2=1+52\\\\AB^2=53\to AB=\sqrt{53}[/tex]

Answer: √53

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