SOLUTION: Hello! I need to find side X (The hypotenuse) of a right triangle only knowing that the 2 angles are 90, 60, and 30. I know that the small side of the triangle is 11. I've only be

Question 269251: Hello! I need to find side X (The hypotenuse) of a right triangle only knowing that the 2 angles are 90, 60, and 30. I know that the small side of the triangle is 11. I've only been able to find answers online, but nothing that actually tells me how to do it. Could I get a walk through please?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
You have what is called a 30-60-90 triangle
The lengths of the sides are in these ratios:
side opposite the 30:
side opposite the 60:
the hypotenuse:
If you know 1 side, then you know the other 2
to solve for hypotenuse:

Suppose you knew the length of the side opposite the 60
Suppose that side was
The hypotenuse would be

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