# In 30-60-90 triangle, where the length of the long leg is 9, what is the length of the hypotenuse and the short leg?

##### 2 Answers

Since it's a 30-60-90 triangle, the hypotenuse should be

#### Explanation:

In a 30-60-90 triangle, the sides can be described as such:

Short side:

Hypotenuse:

Long Side:

These can be considered ratios. If you look at it in terms of sine and cosine, this becomes a bit clearer, since sine and cosine gives you the ratio of the sides:

since we know the ratios, we can multiply them by a constant,

Now that we have an equation which describes the length of the long leg in terms of the side ratios, we can solve for

Use trigonometric function

#### Explanation: