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