1. What is Angle C of Triangle?

Angle C of Triangle is the measure of the wideness of two sides that join to form the corner, opposite to side C of the Triangle. It is measured in degrees or radians and represents one of the three interior angles of a triangle.

2. How Does the Calculator Work?

The calculator uses the Law of Cosines formula:

Where:

• \( Sb \) — Side B of Triangle (m)
• \( Sa \) — Side A of Triangle (m)
• \( Sc \) — Side C of Triangle (m)
• \( \arccos \) — Inverse cosine function

Explanation: The Law of Cosines relates the lengths of the sides of a triangle to the cosine of one of its angles, allowing us to calculate an angle when all three sides are known.

3. Importance of Angle Calculation

Details: Calculating angles in triangles is fundamental in geometry, trigonometry, and various practical applications such as construction, navigation, and engineering. It helps in determining the shape and properties of triangular structures.

4. Using the Calculator

Tips: Enter all three side lengths in meters. All values must be positive numbers. The sides must satisfy the triangle inequality theorem to form a valid triangle.

5. Frequently Asked Questions (FAQ)

Q1: What is the range of possible values for Angle C?
A: In a valid triangle, Angle C must be between 0° and 180° (exclusive).

Q2: What if the calculated value is not a real number?
A: This indicates that the input side lengths do not form a valid triangle according to the triangle inequality theorem.

Q3: Can this calculator be used for any type of triangle?
A: Yes, the Law of Cosines applies to all types of triangles: acute, right, and obtuse.

Q4: What units should I use for the side lengths?
A: The calculator uses meters, but any consistent unit can be used as the formula is dimensionally consistent.

Q5: How accurate is the calculation?
A: The calculation is mathematically exact based on the input values, with results rounded to two decimal places for readability.