Given BE is 5, and CD is 3, we can tell that BED is a 3 - 4 - 5 triangle, so BC = 1. Via a similar translation, AGC is congruent to BED. By the same logic, GFE is congruent to AHB. The ratio of GF to FE is BC to CintersectionBE. Which is 4:3. Given GE is 3, and GFE is a 3-4-5 triangle, FE is 1.8 units long, which is equal to BH which in mixed number, is 1 and 4/5.