Step-by-step explanation:
I am not sure you correctly wrote the answer options.
because the way they are written, when I take them literally, none of them are correct.
the ratio between the 3 sides of a 30-60-90 triangle is always
1 : sqrt(3) : 2
the legs are the 2 shorter sides.
so, their ratio is
1 : sqrt(3)
A 3:3 says they are equally long. no, they are not. so, this is wrong.
B 2 : sqrt(3). no, this is the ratio of the Hypotenuse to the longer leg, and not of the 2 legs. so, this is wrong.
C I don't know what you were trying to write here. but as it is written, both sides of the ratio are equal. like A, no they are not. so, this is wrong.
D I suspect you skipped the square root sign for 3. is that is true, then D is the right answer. if not, then this is wrong too.
E 2:2 is like A. no, the 2 sides are not equally long. this is wrong.
F 1:2 like B. this is the ratio of the shorter leg and the Hypotenuse. but not of the 2 legs. so this is wrong.
