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The Side C calculation determines the length of side C in a triangle when given side B and two angles (B and C). This uses the Law of Sines, which states that the ratio of the length of a side to the sine of its opposite angle is constant for all sides of a triangle.
The calculator uses the formula:
Where:
Explanation: The formula applies the Law of Sines to calculate the unknown side length based on the known side and its opposite angle, and the unknown side's opposite angle.
Details: Calculating unknown sides of triangles is fundamental in geometry, trigonometry, and various practical applications including construction, navigation, and engineering design.
Tips: Enter side B in meters, angles in degrees. All values must be positive (side B > 0, angles between 0-180°). The sum of all three angles in a triangle must equal 180°.
Q1: Why use the Law of Sines for this calculation?
A: The Law of Sines provides a direct relationship between sides and their opposite angles, making it ideal for calculating unknown sides when two angles and one side are known.
Q2: What if the angles don't sum to 180°?
A: The calculator assumes valid triangle angles. If the provided angles don't sum to 180° with the third angle (calculated as 180° - ∠B - ∠C), the result may not represent a valid triangle.
Q3: Can this calculator handle obtuse angles?
A: Yes, the calculator works with all valid triangle angles (0° < angle < 180°), including obtuse angles.
Q4: What are the limitations of this calculation?
A: The calculation assumes a valid triangle exists with the given parameters. It may produce invalid results if the angles don't satisfy triangle angle sum properties.
Q5: How accurate are the results?
A: Results are accurate to four decimal places, which is sufficient for most practical applications in geometry and trigonometry.