Question What is the length of side x in a 30-60-90 triangle where one side is the square root of 3 and the other side is unknown?

Answer: The length of side x in a 30-60-90 triangle is 2√3. Step-by-step explanation: The numbers 30-60-90 are angles, so we need to find the side x of a right triangle with the following information: θ: is one angle of the right triangle = 30° α: is the other angle of the right triangle = 60° a: is one side of the right triangle = √3 b: is the other side of the right triangle =? x: is the hypotenuse of the right triangle =? The length of the hypotenuse can be found by Pitagoras: (1) So, we need to find the side “b”. We can calculate it with the given angles. From the side “a” we have: (2) From the side “b”: (3) Now, we can calculate “b” by dividing equation (3) by equation (2). Finally, we can find the length of the hypotenuse with equation (1): Therefore, the length of side x in a 30-60-90 triangle is 2√3. I hope it helps you! Log in to Reply

Answer:The length of side x in a 30-60-90 triangle is 2√3.Step-by-step explanation:The numbers 30-60-90 are angles, so we need to find the side x of a right triangle with the following information:

θ: is one angle of the right triangle = 30°

α: is the other angle of the right triangle = 60°

a: is one side of the right triangle = √3

b: is the other side of the right triangle =?

x: is the hypotenuse of the right triangle =?

The length of the hypotenuse can be found by Pitagoras:

(1)

So, we need to find the side “b”. We can calculate it with the given angles.

From the side “a” we have:

(2)

From the side “b”:

(3)

Now, we can calculate “b” by dividing equation (3) by equation (2).

Finally, we can find the length of the hypotenuse with equation (1):Therefore, the length of side x in a 30-60-90 triangle is 2√3.I hope it helps you!