SOLUTION: the hypotenuse of a 30-60-90 triangle has lenght 13. what is the lenghth of the side opposite the 60 degree angle?

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Question 439855: the hypotenuse of a 30-60-90 triangle has lenght 13. what is the lenghth of the side opposite the 60 degree angle?
Answer by MathLover1(20849) About Me  (Show Source):
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In a 30°-60°-90° triangle the sides are in the ratio 1 : 2 : sqrt%283%29
The side adjacent to 60° is always half of the hypotenuse -- therefore, side b is 6.5.
But this is the side that corresponds to 1 and it has been multiplied by 6.5.
Therefore, side a will be multiplied by 6.5 and will be 6.5%2Asqrt%283%29=.11.3