Question

Which of the following could be the ratio between the lengths of the two legs of a 30-60-90 triangle? Check all that apply

Answer 1

1 : root(3)

root(3) : 3

3 : 3root(3)

Explanation:

the last answer wasn't on this question but it was on my quiz.

Answer 2

By definition we have the following trigonometric relationship:
tan (x) = C.O / C.A
Where,
x: angle
C.O: opposite leg
C.A: Adjacent Leg
We have then:
C.O / C.A = tan (30) = 1 / root (3)
C.O / C.A = tan (60) = root (3)
Answer:
1/root (3) option E
root(3)/3 option F