Question

If GF = 15 and CG = 23, find CD

Answer 1

The value of CD is 27.5

To determine the length, we need to use the Pythagorean theorem which states that the square of the hypotenuse side is equal to the sum of the squares of the other two sides.

Then, we have that;

CD²= GF² + CG²

substitute the values

CD²= 23² + 15²

find the square values, we have;

CD² = 529 + 225

add the values

CD² = 754

find the square root

CD = 27. 5

Answer 2

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