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

Answer:

A. $3 : 3\cdot \sqrt{3}$, B. $1 : \sqrt{3}$, C. $\sqrt{3} : 3$

Step-by-step explanation:

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

Shortest Leg

$y = x$

Longest Leg

$x =\sqrt{3} \cdot y$

Then, the ratio must be 1 : $\sqrt{3}$ and right options are A, B, C.