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Ronkov · Answer 1 · 2019-07-06T11:45:14+0000

In a 30-60-90 triangle the side opposite the 30 degree angle is half the length of the hypotenuse ⇒ a = 6/2 = 3 in.

By the Pythagorean theorem:
b = √(6² - 3²) = √(36-9) = √27 = 3√3 in.

Answer: a=3 in, b=3√3 in.

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