The formula to calculate the Side B of Triangle (Sb) is:
\[ S_b = \sqrt{S_a^2 + S_c^2 - 2 \cdot S_a \cdot S_c \cdot \cos(\angle B)} \]
Where:
Side B of Triangle is the length of the side B of the three sides. In other words, the side B of the Triangle is the side opposite to the angle B.
Side A of Triangle is the length of the side A, of the three sides of the triangle. In other words, the side A of the Triangle is the side opposite to the angle A.
Side C of Triangle is the length of the side C of the three sides. In other words, side C of the Triangle is the side opposite to angle C.
Angle B of Triangle is the measure of the wideness of two sides that join to form the corner, opposite to side B of the Triangle.
Let's assume the following values:
Using the formula:
\[ S_b = \sqrt{S_a^2 + S_c^2 - 2 \cdot S_a \cdot S_c \cdot \cos(\angle B)} \]
Evaluating:
\[ S_b = \sqrt{10^2 + 20^2 - 2 \cdot 10 \cdot 20 \cdot \cos(0.698131700797601)} \]
The Side B of Triangle is 13.9133828651545.
| Side A of Triangle | Side C of Triangle | Angle B of Triangle (radians) | Side B of Triangle |
|---|---|---|---|
| 5 | 20 | 0.6981317007976 | 16.48608841951867 |
| 10 | 20 | 0.6981317007976 | 13.91338286515451 |
| 15 | 20 | 0.6981317007976 | 12.85975637905177 |