Answer:
GF = 11
GE = 28
DF = 28
HF = 14
DG = √(663)
Step-by-step explanation:
We have that for a rectangle;
1) The opposite sides are equal
Therefore, GF = DE = 11
2) The diagonals of a rectangle are equal and they bisect each other
Therefore;
HE = HF = GH = 14
∴ HF = 14
HE = 14
GE = GH + HE = 14 + 14 = 28
GE = 28
DF = GE = 28
DF = 28
3) The sides of a rectangle are perpendicular
Therefore, by Pythagoras's theorem, DG = √(DF² - GF²) = √(28² - 11²) = √663 ≈ 25.75
