Question

if GF = 15 and CG = 23, find CD

Answer 1

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:

$CD^2=15^2+23^2$

Solving the powers:

$CD^2\text{ = 225 + 529 =754}$

Applying the square root to both sides:

$CD=\sqrt[]{754}=27.45\text{ square units}$

The value of CDIS 27.45 square units