9514 1404 393
Answer:
12
Step-by-step explanation:
The hypotenuse of a 30°-60°-90° triangle is twice the length of the shortest side. It will be 6×2 = 12 units long.
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Additional comment
This is one of two "special triangles" you would do well to remember. The side length ratios in these special triangles are ...
30°-60°-90° triangle: 1 : √3 : 2
45°-45°-90° triangle: 1 : 1 : √2
As in any triangle, the shortest side is opposite the smallest angle.
These appear often in algebra, geometry, and trigonometry problems.
