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)
12√3
6
2√3
12
The side opposite the 60-degree angle in a 30-60-90 triangle is always twice as long as the side opposite the 30-degree angle. So, in this case, the length of the side opposite the 60-degree angle is 63–√3.
The length of the hypotenuse is always twice as long as the side opposite the 30-degree angle.
Therefore, the length of the hypotenuse is 2*(63–√3) = 126–2√3.
The length of the hypotenuse of the 30-60-90 triangle is 126–2√3.
Therefore, the answer is 126–2√3.