In this case, we'll have to carry out several steps to find the solution.
Step 01:
side 1 = s = 730 cm
side 2 = t = 270 cm
∠ U = 125 °
side 3 = u = ?
Step 02:
Suppose we know the sides a, b:
a = 730 cm
b = 270 cm
angle C between them:
angle C = 125°
We apply the cosine theorem to find the third side c:
![c=\text{ }\sqrt[]{a^2+b^2-2ab\cos C}](https://img.qammunity.org/qa-images/2023/formulas/mathematics/college/a11j7b0yv0kyd2o9cfka.png)
![c=\sqrt[]{(730\operatorname{cm})^2+(270\operatorname{cm})^2-2(730\operatorname{cm}\cdot270\operatorname{cm})\cos \text{ 125}}]()
c = 912.088 cm
The answer is:
The length of the side U is 912 cm