EXPLANATION
Given:
GF = 15 CG = 23
By the Quadrilateral theorem
GF = GD = 15 and CG = GE = 23
We can now apply the relationship given for the kite geometry as follows:
CD^2 = GD^2 + CG^2
As GD = GD, replacing terms:
[tex]CD^2=15^2+23^2[/tex]
Solving the powers:
[tex]CD^2\text{ = 225 + 529 =754}[/tex]
Applying the square root to both sides:
[tex]CD=\sqrt[]{754}=27.45\text{ square units}[/tex]
The value of CDIS 27.45 square units
