Determine the length of CD. Show your work.

The length of line CD is 20. 9
Note that triangle CDY is an isosceles triangle
Using the Pythagoras theorem
Hypotenuse square = opposite square + adjacent square
Hypotenuse = line CD
opposite = 20
Adjacent = 6
Substitute into equation
[tex]Line CD^2 = 20^2 + 6^2[/tex]
[tex]Line CD^2 = 400 + 36[/tex]
[tex]Line CD^2 = 436[/tex]
Make line CD^2 subject by find the square root of the other side
[tex]Line CD = \sqrt{436}[/tex]
[tex]Line CD = 20.9[/tex]
Therefore, the length of line CD is 20. 9
Learn more about Pythagorean theorem here:
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