taetae641
taetae641 taetae641
  • 07-01-2021
  • Mathematics
contestada

Find the length of side x in simplest radical form with a rational denominator.

Find the length of side x in simplest radical form with a rational denominator class=

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clarch19
clarch19 clarch19
  • 07-01-2021

Answer:

x = [tex]\sqrt{3}[/tex]/6

Step-by-step explanation:

30-60-90 triangles have legs in the ratio of 1 : [tex]\sqrt{3}[/tex] : 2

create a proportion:  (6 ÷[tex]\sqrt{3}[/tex]) = (1÷x)

cross-multiply:  6x = [tex]\sqrt{3}[/tex]

divide by 6

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