What is the value of x? If necessary leave your answer in the simplest radical form.
![What is the value of x If necessary leave your answer in the simplest radical form class=](https://us-static.z-dn.net/files/d11/3b5152a9bdac617a1b027590f0330db7.png)
Explanation:
This is a 30-60-90 triangle as shown by the angles. These types of triangles have their shortest leg opposite the smallest angle, and the connection between the short and long legs is
long = short*sqrt(3)
We see that the long leg is 16*sqrt(3) units long, which must mean the short leg is 16 units. This doubles to 32 when we go from short leg to hypotenuse
hypotenuse = short*2