1. What is the Angle of a Triangle Calculator?

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

Purpose: It helps students, engineers, and designers calculate angles in triangles without needing protractor measurements.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( C \) — Angle opposite side c (degrees)
• \( a, b \) — Lengths of the other two sides (meters)
• \( c \) — Length of the side opposite angle 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 Angle Calculation

Details: Accurate angle calculation is essential in trigonometry, construction, navigation, and various engineering applications.

4. Using the Calculator

Tips: Enter all three side lengths in meters. The calculator will determine the angle opposite the third side (c). All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: What if I get an error or no result?
A: Ensure the side lengths can form a valid triangle (sum of any two sides > third side).

Q2: Can I use this for any triangle?
A: Yes, this works for all triangle types (acute, right, obtuse).

Q3: How accurate is the calculation?
A: Very accurate, limited only by floating-point precision (typically 15 decimal digits).

Q4: Can I calculate other angles with this?
A: Yes, just rotate which side is considered 'c' to find different angles.

Q5: What units does this use?
A: The calculator uses meters for sides and degrees for angles, but any consistent unit will work.