hello again I need to find an equation to find the long side of the triangle. but this time only the hypotenuse is given. brainliest if you get it right :)))

Answer:
The answer to your question is Long = 10.39
Step-by-step explanation:
Data
hypotenuse = 12
long = ?
Process
1.- To find Long, we must use the trigonometric functions sine or cosine.
If we use sine, we use the 60° angle
If we use cosine, we use the 30° angle
a) sin 60 = long / hypotenuse
Long = hypotenuse x sin 60
Long = 12 x sin 60
Long = 10.39
b) cos 30 = Long / hypotenuse
Long = hypotenuse x cos 30
Long = 12 x cos 30
Long = 10.39
Answer:
Step-by-step explanation:
We have the triangle 30° - 60° - 90°. The sides are in ratio 1 : 2 : √3.
(short : hypotenuse : long)
We have hypotenuse = 12.
Therefore
short = 12/2 = 6
long = 6√3