Question

In EFG, mE = 30, mF = 60, and mG = 90. Which of the following statements about EFG are true?

Answer 1

Check the picture below.

Answer 2

$FG=cos60^o * EF = \frac{1}{2} * EF \\ \\ EG = cos30^o * EF = \frac{ \sqrt{3} }{2} * EF \ \ \ \text{[B is true]} \\ \\EG=tan60^o*FG= \sqrt{3}*FG \ \ \ \text{[C is true]} \\ \\ EF= \frac{FG}{cos60^o}= \frac{FG}{ \frac{ 1 }{2} } = 2*FG \ \ \ \text{[F is true]}$