Question

rom the diagram below, if the measure of < C = 30 °, and side BC = 8, then side AB = _____.

Answer 1

For the 30° - 60° right triangle, we have:

Then, if BC = 8 = √(3) k:

$\begin{gathered} 8=\sqrt{3}k \\ \\ k=\frac{8}{\sqrt{3}} \\ \\ \Rightarrow k=\frac{8\sqrt{3}}{3} \end{gathered}$

From the figure:

$\begin{gathered} AB=k \\ \\ \therefore AB=\frac{8\sqrt{3}}{3} \end{gathered}$