Answer:
The length of GI is 90.06 units
Explanation:
1. Let's review the information given to us to answer the question correctly:
GH = 60 units
HI = 42 units
∠H = 123°
2. Using the Law of Cosines, we can find the length of GI, this way:
GI² = GH² + HI² - 2 * GH * HI * cos ∠H
Replacing with the real values:
GI² = 60² + 42² - 2 * 60 * 42 * cos ∠123°
GI² = 3,600 + 1,764 - 2 * 60 * 42 * -0.545
GI² = 3,600 + 1,764 - 2 * 60 * 42 * -0.545
GI² = 3,600 + 1,764 + 2,746.8
GI² = 8,110.8
GI = √ 8,110.8 = 90.06 units