Question

PlZz AnsWeRIf each quadrilateral below is a rectangle, find the missing measures. ​

Answer 1

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