Question

angle, find the missing measures.
2.
*gh = 14
gf =
ge =
df =
hf =
dg =

Explanation:

Step1: Identify rectangle properties

In a rectangle, opposite sides are equal, so $GF = DE = 11$.

Step2: Use diagonal bisect property

Diagonals of a rectangle bisect each other, so $GH = HF = 14$.

Step3: Calculate HF

$HF = GH = 14$

Step4: Calculate GE

Diagonals of a rectangle are equal, and $GE = DF = GH + HF = 14 + 14 = 28$.

Step5: Calculate DF

$DF = GE = 28$

Step6: Calculate DG

Use Pythagorean theorem: $DG = \sqrt{DE^2 + GH^2} = \sqrt{11^2 + 14^2}$
$\sqrt{121 + 196} = \sqrt{317} \approx 17.80$

Answer:

$GF = 11$
$GE = 28$
$DF = 28$
$HF = 14$
$DG = \sqrt{317} \approx 17.80$