Question

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

Answer 1

ratio between 2 legs are x and x√3

so answers:

A, B and C

Answer 2

A.
`3 : 3\cdot √(3)`, B.
`1 : √(3)`, C.
`√(3) : 3`

Explanation:

According to the 30-60-90 triangle, the values of each leg are:

Shortest Leg

`y = x`

Longest Leg

`x =√(3) \cdot y`

Then, the ratio must be 1 :
`√(3)` and right options are A, B, C.