The length of line segment GH in the diagram is 6 units.
Hence, option D) 6 units is the correct answer.
What is Pythagorean theorem?
Pythagorean theorem states that the "square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.
It is expressed as;
c = √( a² + b² )
From the Image, Point GEC forms a right angle triangle, so we find length of GC using the Pythagorean theorem.
c = √( a² + b² )
GC = √( GE² + EC² )
GC = √( (12)² + (9)² )
GC = √228
GC = 15
Now, since line CE and CH are both radius of the circle, CH = 9
Hence, Segment GH will be;
GH = GC - CH
GH = 15 - 9
GH = 6
The length of line segment GH in the diagram is 6 units.
Hence, option D) 6 units is the correct answer.
Learn more about Pythagorean theorem here: brainly.com/question/343682
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