What is the length of the hypotenuse of a 30-60-90 triangle if the side opposite the 60-degree angle is 63–√3 ?
In a 30-60-90 triangle, the side opposite the 60-degree angle is twice the length of the side opposite the 30-degree angle, and the length of the hypotenuse is twice the length of the side opposite the 60-degree angle.
So, if the side opposite the 60-degree angle is 63-√3, then the length of the hypotenuse is 2 * (63-√3) = 126-2√3.
Therefore, the length of the hypotenuse is 126-2√3.