Question

Which of the following measurements represents the perimeter of the triangle above?

Answer 1

first, we find x and y,

$\begin{gathered} \sin 42=\frac{y}{18} \\ 18\times\sin 42=y \\ y=12.04 \end{gathered}$$\begin{gathered} \cos 42=\frac{x}{18} \\ 18\times\cos 42=x \\ x=13.37 \end{gathered}$

then the perimeter is

$P=18+x+y=18+12.04+13.37=43.42$

answer:

43.42 units