Answer:
b) EF = GF , as both of them are at equal distance from the center
Explanation:
Here we are given a ΔEFG inscribed in a circle. We have to determine whether EF = Gf and why ?
Here we see that the center is A
And EF and GF forms the chords of this circle. 
The distance of these chords from the center is given as AD and DH . It is also given that both are equal. 
The property of a circle says that 
When chords are drawn at equal distance from the center , the chords are equal to each other. Hence we have EF and GF equal to each other.