Answer:
To solve the triangle using the Law of Cosines with the given information:
Given:
- Angle A = 103°
- Side a = 9
- Side b = 4.5
Using the Law of Cosines formula:
c² = a² + b² - 2ab * cos(C)
Substitute the known values:
c² = 9² + 4.5² - 2 * 9 * 4.5 * cos(103°)
c² = 81 + 20.25 - 81 * 4.5 * cos(103°)
Calculate c:
c ≈ **10.13**
Therefore, the length of side c is approximately **10.13** units.
