Question

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

Answer 1

we know that

In a
`30-60-90` triangle

the ratio between the lengths of the two legs is equal to the tangent

so

`tan(30\°)= (1)/(√(3))= (√(3))/(3)`

`tan(60\°)= √(3)`

therefore

the answer is

Option B

`(1)/(√(3))` -------> could be the ratio

because is the value of the
`tan(30\°)`

Option C

`(√(3))/(3)` ------> could be the ratio

because is the value of the
`tan(30\°)`

Option E

`(3)/(3√(3))=(1)/(√(3))` -------> could be the ratio

because is the value of the
`tan(30\°)`