Find the length of side x in simplest radical form with a rational denominator. 60°
Х
30
4​

Step-by-step explanation:

We know this triangle has angles 30, 60, and 90 degrees. Triangles with these angles have a special relationship on the sides.

The side opposite to the 90 degree angle is 2 times of x.

The side opposite to the 60 degree angle is multiplied x.

We know the side opposite to 60 degree angle is 2, so x would be

However, we can't have an irrational number in the demoninator so we multiply the fractice by root 3 over root 3:

which gives us