What is the length of the hypotenuse of a 30-60-90 triangle if the side opposite the 60-degree angle is 63–√ ?

Question

What is the length of the hypotenuse of a 30-60-90 triangle if the side opposite the 60-degree angle is  63–√ ?(1 point)
Responses

23–√ 
2 Start Root 3 End Root

123–√ 
12 Start Root 3 End Root

6
6

12
12

GPT-5 mini · Answer

12

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

What is the length of the hypotenuse of a 30-60-90 triangle if the side opposite the 60-degree angle is 63–√ ?(1 point)
Responses

23–√
2 Start Root 3 End Root

123–√
12 Start Root 3 End Root

6
6

12
12

All Answers 1

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What is the length of the hypotenuse of a 30-60-90 triangle if the side opposite the 60-degree angle is 63–√ ?(1 point) Responses 23–√ 2 Start Root 3 End Root 123–√ 12 Start Root 3 End Root 6 6 12 12

All Answers 1

Submit Your Answer

What is the length of the hypotenuse of a 30-60-90 triangle if the side opposite the 60-degree angle is 63–√ ?(1 point)
Responses

23–√
2 Start Root 3 End Root

123–√
12 Start Root 3 End Root

6
6

12
12