Answer:
GH = 11
Step-by-step explanation:
Triangle KGJ is a mini version (I don't remember my terminology, it's been years) of Triangle KHI.
This means that the ratio between the sides on Triangle KGJ should be the same as the ratio between the sides on Triangle KHI.
KJ/KG = KI/KH
48/22 = (48 + 24) / (22 + GH)
48/22 = 72 / (22 + GH)
(48/22) * (22 + GH) = 72
22 + GH = 72 / (48/22)
GH = [72 / (48/22)] - 22
GH = [72 * (22/48)] - 22
GH = [72 * 22 / 48] - 22
GH = [1584 / 48] - 22
GH = [33] - 22
GH = 11
