is the side opposite the 60 degree angle in a 30-60-90 triangle ALWAYS the square root of 3?

Question

asnaseer · Answer

What makes you think that it is?

asnaseer · Answer

imagine I had a 30-60-90 triangle with the side opposite the 60 degrees as $\sqrt{3}$

What would happen if I doubled all the side lengths?

anonymous · Answer

im studying on spark notes and they concluded that, the side was the square root of 3 since it was opposite of the 60 degree angle. I need conformation

asnaseer · Answer

It would help if you posted that question here to give us more context

anonymous · Answer

its more of a general question but okay. hold on

anonymous · Answer

What is the area of triangle QRS if RS is tangent to circle Q?

anonymous · Answer

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asnaseer · Answer

ok - so you are ALSO given one of the triangles lengths - in this case the length is 4

asnaseer · Answer

so what you have is (if I have read your diagram correctly):
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