Question

which 30 - 60 - 90 triangle is labeled with the correct side length ratio?

Explanation:

Step1: Recall side - ratio rule

In a 30 - 60 - 90 triangle, if the shortest side (opposite 30°) is $a$, the side opposite 60° is $a\sqrt{3}$ and the hypotenuse is $2a$.

Step2: Analyze options

Check each triangle's side - length ratio against the 1:$\sqrt{3}$:2 ratio.

Answer:

The top - most triangle is correct as it has side lengths 1, $\sqrt{3}$, 2 corresponding to the side - length ratio of a 30 - 60 - 90 triangle where the side opposite 30° is 1, side opposite 60° is $\sqrt{3}$ and hypotenuse is 2.