Question:What is the length of the hypotenuse of a 30-60-90 triangle if the side opposite the 60-degree angle

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Question:What is the length of the hypotenuse of a 30-60-90 triangle if the side opposite the 60-degree angle is $6\sqrt{3}$?Answers:$2\sqrt{3}$$12\sqrt{3}$$6$$12$

GPT-5 mini · Answer

In a 30-60-90 triangle the sides are in ratio 1 : √3 : 2 (short leg : long leg : hypotenuse). If the side opposite 60° (long leg) is 6√3, then short leg = 6 and hypotenuse = 2·6 = 12.

Answer: 12.

Question:What is the length of the hypotenuse of a 30-60-90 triangle if the side opposite the 60-degree angle is $6\sqrt{3}$?Answers:$2\sqrt{3}$$12\sqrt{3}$$6$$12$

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