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If a right triangle has one 30 degree angle and the shortest side is 6, what is the hypotenuse

User Tarkh
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Answer:

12

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.

User Aaron Keesing
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