# 30.60.90. right triangle. How do I solve if the long leg is 10?

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I dont have the short leg or hypotenuse

I dont have the short leg or hypotenuse

##### 1 Answer

May 1, 2018

The short leg is

#### Explanation:

The 30.60.90 law states that for any given right triangle with angles measuring 30 and 60 degrees:

The 30 degree angle's opposite side is

The 60 degree angle's opposite side is

The 90 degree angle's opposite side is

The "long leg" must be the 60 degree angle, so it is

The short leg is thus

Based on that, the hypotenuse is

We also need to rationalize the values.