1. What is a Triangle Angle Calculator?

Definition: This calculator computes an angle of a triangle when all three side lengths are known, using the Law of Cosines.

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 formula:

Where:

• \( C \) — Angle opposite side c (degrees)
• \( a \) — Length of side a (meters)
• \( b \) — Length of side b (meters)
• \( c \) — Length of side c (meters)

Explanation: The Law of Cosines relates the lengths of the sides of a triangle to the cosine of one of its angles.

3. Importance of Triangle Angle Calculation

Details: Accurate angle calculation is essential in construction, navigation, computer graphics, and various fields of engineering.

4. Using the Calculator

Tips: Enter all three side lengths in meters. The calculator will compute angle C (the angle opposite side c).

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for the side lengths?
A: The calculator uses meters, but any consistent unit can be used as long as all sides use the same unit.

Q2: What if I get an error or no result?
A: Ensure the side lengths satisfy the triangle inequality (sum of any two sides > third side).

Q3: Can I calculate other angles with this?
A: Yes, by rearranging the side variables in the formula to solve for different angles.

Q4: How accurate are the results?
A: Results are accurate to two decimal places, sufficient for most practical applications.

Q5: Does this work for all types of triangles?
A: Yes, the Law of Cosines works for acute, right, and obtuse triangles.