There is a rule: opposite an angle of 30 degrees, there is a leg equal to half of the hypotenuse.
12: 2 = 6
We find the second leg (according to the Pythagorean theorem):
6² + x² = 12²,
36 + x = 144,
x = 144 – 36,
x = 108
x = √108 = √ 9 * 3 * 4 = 6 √3
We compare the two legs and get the answer:
The smallest leg is 6.
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