1. What is the Angle of Triangle Given 2 Sides?

The angle of a triangle can be calculated when you know all three sides using the Law of Cosines. This formula relates the lengths of the sides of a triangle to the cosine of one of its angles.

2. How Does the Calculator Work?

The calculator uses the Law of Cosines formula:

Where:

• \( a \) — Length of side opposite to angle θ
• \( b \) — Length of first adjacent side
• \( c \) — Length of second adjacent side
• \( \theta \) — Angle between sides b and c (in degrees)

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

3. Importance of Angle Calculation

Details: Calculating angles in triangles is fundamental in geometry, engineering, architecture, and various fields of science. It helps in determining unknown measurements when only side lengths are known.

4. Using the Calculator

Tips: Enter all three side lengths in meters. The sides must satisfy the triangle inequality (sum of any two sides must be greater than the third side). All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for the side lengths?
A: The calculator works with any consistent units (meters, centimeters, etc.), but the result will be in the same unit system. The default display is in meters.

Q2: What if I get an error message?
A: The error means your side lengths don't form a valid triangle. Check that the sum of any two sides is greater than the third side.

Q3: Can I calculate other angles with this?
A: Yes, just rearrange the formula to make different sides the 'a' side (opposite to the angle you want to find).

Q4: How accurate is this calculation?
A: The calculation is mathematically exact for perfect measurements. Real-world accuracy depends on the precision of your side measurements.

Q5: What about right triangles?
A: For right triangles, you can use simpler trigonometric functions (sine, cosine, tangent) if you know which angle is 90°.