Find the length of side x in simplest radical form with a rational denominator.
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Answer:
x=2√5
Step-by-step explanation:
1st method:
sin(30)=opposite/hypotenuse=√5/x
sin(30)x=√5
x=√5/sin(30)
x=2√5
2nd method:
cos(60)=adjacent/hypotenuse=√5/x
cos(60)x=√5
x=√5/cos(60)
x=2√5
3rd method:
This is a 30-60-90 triangle, so we can multiply the short side, √5, by 2, to get x=2√5