What is the length of the hypotenuse in the 30-60-90 triangle shown below ?

1 Answer

  • Answer:


    Step-by-step explanation:

    The missing figure is attached.

    For this exercise you can use the following Trigonometric Identity:


    Let be "x" the hypotenuse of this right triangle.

    You can identify from the figure that, in this case:


    Then, knowing these values you can substitute them into [tex]sin\alpha=\frac{opposite}{hypotenuse}[/tex]:


    Finally, you need to solve for "x" in order to find the lenght of the hypotenuse.

    This is: