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Answer:

  2√5

Step-by-step explanation:

The side ratios in a 30-60-90 triangle are ...

  1 : √3 : 2

The longest side (x) is 2 times the length of the shortest side (√5), so ...

  x = 2√5

Answer:

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

Step-by-step explanation:

In a [tex]\displaystyle \frac{π}{6}-\frac{π}{3}-\frac{π}{2}\:OR\:30°-60°-90°[/tex] triangle, the shorter leg is ALWAYS half of the hypotenuse, and the longer leg is [tex]\displaystyle x\sqrt{3}.[/tex]

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