Question

What is the relation between the opposite side of a 30° angle, a 60° angle, and a 90° angle?

1) The opposite side of the 30° angle is x.
2) The opposite side of the 60° angle is x‚àö3.
3) The opposite side of the 90° angle is 2x.

Answer 1

In a right triangle, the opposite sides of the angles have a specific relation.

Step-by-step explanation:

In a right triangle, the opposite side is the side that is opposite to the given angle. In this case:

1) The opposite side of the 30° angle is x.

2) The opposite side of the 60° angle is x√3.

3) The opposite side of the 90° angle is 2x.

So the relation between the opposite sides of these angles is that the opposite side of the 30° angle (x) is half the length of the opposite side of the 60° angle (x√3) and the double the length of the opposite side of the 90° angle (2x).