Question

which of the following could be a ratio between the lengths of the two legs of a 30-60-90 triangle?

Answer 1

the following?

Answer 2

one should have \(\sqrt 2\) or something

Answer 3

it's \(1,\frac 12 ,\frac{\sqrt 2}2\)

Answer 4

Here's a web page about 30° 60° 90° triangles:
http://1728.org/trig2.htm
The possible ratios could be:
2; sqrt(3); 1; (2/sqrt(3)); (1/sqrt(3)); sqrt(3) /2 ; or a half