1. What is the Angle Calculator?

Definition: This calculator finds an angle in a triangle using the cosine rule when all three side lengths are known.

Purpose: It helps in geometry, trigonometry, and various engineering applications where triangle measurements are needed.

2. How Does the Calculator Work?

The calculator uses the cosine rule formula:

Where:

• \( a \) — Length of side opposite the angle (meters)
• \( b \) — Length of adjacent side 1 (meters)
• \( c \) — Length of adjacent side 2 (meters)

Explanation: The formula calculates the angle (in radians) opposite to side 'a' using the relationship between all three sides of the triangle.

3. Importance of Angle Calculation

Details: Accurate angle calculation is essential in construction, navigation, computer graphics, and any field involving triangular measurements.

4. Using the Calculator

Tips: Enter all three side lengths in meters. Side 'a' should be opposite the angle you want to find. All values must be > 0 and must satisfy the triangle inequality theorem.

5. Frequently Asked Questions (FAQ)

Q1: What if I get an error or invalid result?
A: Ensure your side lengths satisfy the triangle inequality (sum of any two sides > third side). If not, they don't form a valid triangle.

Q2: Can I use this for any triangle?
A: Yes, the cosine rule works for all triangles - acute, right, and obtuse.

Q3: Why does the result appear in degrees?
A: Degrees are more intuitive for most applications. The calculator converts from radians automatically.

Q4: How accurate is the calculation?
A: The calculation is mathematically precise, though displayed to 2 decimal places for readability.

Q5: Can I find other angles with this?
A: Yes, just rotate which side you consider 'a' to find different angles in the same triangle.