Question

The length of the hypotenuse of a 30°-60°-90° triangle is 18. What is the perimeter?

Answer 1

The perimeter is going to be 27+9 root 3
Why?
In order to find the shorter leg of a 30-60-90 triangle, you have to do 1/2 H (Hypotenuse) or basically divide the H by 2, so the shorter leg=9
To find the longer leg, you have to multiply the shorter leg (which in this case is 9) to root 3, so the longer leg= 9 root 3
so the perimeter then would be 9+18+9 root3, or 27+9 root 3
Hope I helped!