Answer:
Options D, E, and F
Explanation:
Since the angles of triangle EFG are 30-60-90, this is a special triangle,
So, first, a diagram of the triangle is given below:
Next, we show the options that are true:
Option D
[tex]\begin{gathered} EG=\sqrt{3} \\ \frac{\sqrt{3}}{2}EF=\frac{\sqrt{3}}{2}\times2=\sqrt{3} \\ EG=\frac{\sqrt{3}}{2}EF \end{gathered}[/tex]
Option E
[tex]\begin{gathered} EG=\sqrt{3} \\ \sqrt{3}FG=\sqrt{3}\times1=\sqrt{3} \\ \implies EG=\sqrt{3}FG \end{gathered}[/tex]
Option F
[tex]\begin{gathered} EF=2 \\ 2FG=2\times1=2 \\ \implies EF=2FG \end{gathered}[/tex]
Options D, E, and F are true about triangle EFG.
