Respuesta :

Answer:

GH = 6 units

Step-by-step explanation:

Calculate GC using Pythagoras' identity in right triangle GCE

GC² = 9² + 12² = 81 + 144 = 225 ( take the square root of both sides )

GC = [tex]\sqrt{225}[/tex] = 15

GH + HC = GC ← HC is the radius of the circle and HC = 9, thus

GH + 9 = 15 ( subtract 9 from both sides )

GH = 6