Question

60° 60 16 inches An equilateral triangle is folded in half. What is X, the height of the equilateral triangle? 8/3 in 16 in 16/3 in 8 in

Answer 1

The triangle is shown below [rough sketch]:

We want to find x.

With respect to the 60 degree angle, we have the side that is opposite and the side adjacent.

The trig ratio, tangent, relates opposite to adjacent. Thus, we can write:

`\begin{gathered} \tan \theta=\frac{\text{opposite}}{\text{adjacent}} \\ \tan 60=(x)/(8) \\ \tan 60*8=x \\ x=\sqrt[]{3}*8 \\ x=8\sqrt[]{3} \end{gathered}`