The length of the side AB of the kite is 15 and the length of the side CD is 20. The correct option is B.
What is a right-angle triangle?
A right-angle triangle is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.
The length of the sides of kite ABCD.
AB = BC, and
CD = DA
The length of the side AB will be In right ΔAOB,
The Pythagoras theorem is applied.
[tex]\rm AB^2 = (AO)^2 + (OB)^2\\\\AB^2 = 12^2 + 9^2 \\\\AB^2 = 144+81\\\\AB \ = 15[/tex]
The length of the side CD will be In right ΔDOC, The Pythagoras theorem is applied.
[tex]\rm CD^2 = (CO)^2 + (OD)^2\\\\CD^2 = 12^2 + 16^2 \\\\CD^2 = 144+256\\\\CD\ = 20[/tex]
Thus, the length of the side AB of the kite is 15 and the length of the side CD is 20. The correct option is B.
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
