syraaac14 syraaac14
  • 04-04-2021
  • 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=

Respuesta :

reeserl reeserl
  • 04-04-2021

Answer:

x = [tex]\sqrt{21}[/tex]/3

Step-by-step explanation:

In a 30-60-90 triangle, the longer leg is [tex]\sqrt{3}[/tex] times the shorter leg.

So,   x[tex]\sqrt{3}[/tex] = [tex]\sqrt{7}[/tex]

        x = [tex]\sqrt{7}[/tex]/[tex]\sqrt{3}[/tex] = [tex]\sqrt{21}[/tex]/3

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