melinaisabela03 melinaisabela03
  • 29-01-2021
  • Mathematics
contestada

Find the length of side x in simplest radical form with a rational denominator.
60°
X
V5
30°

Find the length of side x in simplest radical form with a rational denominator 60 X V5 30 class=

Respuesta :

clarch19
clarch19 clarch19
  • 30-01-2021

Answer:

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

Step-by-step explanation:

this is a 30-60-90 Δ and the ratio of the sides are 1 : [tex]\sqrt{3}[/tex] : 2

1 / 2 = [tex]\sqrt{5}[/tex] / x

cross-multiply: x = 2[tex]\sqrt{5}[/tex]

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