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For a 30 - 60- 90 triangle the length of the hypotenuse is twice the length of the shortest side. The length of the side opposite to 60 degrees is equal to square root of 3 times the shortest side. From the given choices, the answer would be letter D. 

The set of values could be the side lengths of a 30-60-90 triangle is  (6, 6 √3, 12) , Option D is the correct answer.

What is a Triangle ?

A triangle is a polygon with three sides and three angles and three vertices.

It is asked to find the sides of the triangle for a 30 - 60- 90 triangle

As it is a Right angled triangle

The hypotenuse ² = base ² +height ²

In the given options only Option D satisfies the condition.

12² = (6√3)² +6²

144 = 108+36

144 = 144

Therefore the set of values could be the side lengths of a 30-60-90 triangle is  (6, 6 √3, 12) , Option D is the correct answer.

To know more about Triangle

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