Answer:
90
Explanation:
From the question given above, the following data were obtained:
Length GH = i = 60
Lenght HI = g = 42
Angle H = 123°
Length (GI) = h =?
Thus the length GI (i.e h) can be obtained by using the cosine rule formula as shown below:
h² = i² + g² – 2ig Cos H
h² = 60² + 42² – 2 × 60 × 42 × Cos 123
h² = 3600 + 1764 – (5040 × –0.5446)
h² = 5364 – (–2744.784)
h² = 5364 + 2744.784
h² = 8108.784
Take the square root of both side
h = √8108.784
h = 90
Thus, the Lenght of GI is 90