Question

Which solution finds the value of x in the triangle below?

Answer 1

Answer:

4

Step-by-step explanation:

Since this is a right triangle, and one of the angles measures 60 degrees, we can conclude that the last side measures 30 degrees.

We can see that this is a 30-60-90 degree triangle.

The rules of 30-60-90 degree triangles are that the side opposite the 90 degree angle, or the hypotenuse can be measured with the variable $2a$. The side opposite the 30 degree angle can be measured with $a$, and the side opposite the 60 degree angle will be measured with $a\sqrt{3}$.

We can see that 8 represents $2a$ because it is the hypotenuse. Since the side marked $x$ is separated by the hypotenuse by an angle of 60 degrees, we note that side marked $x$ is opposite the angle measuring 30 degrees. We note that the side opposite 30 degrees is marked $a$, and since we already know that 8 is equal to $2a$, we realize that the side marked x is equal to $a$, or 4.

Answer 2

I didn't get it can you post a picture with it too?