1. What is the Triangle Side Calculator?

Definition: This calculator determines the length of a triangle side using the Law of Sines when you know two angles and one side.

Purpose: It helps in solving triangles, particularly in trigonometry, surveying, and engineering applications.

2. How Does the Calculator Work?

The calculator uses the Law of Sines formula:

Where:

• \( a \) — The side opposite angle A (calculated)
• \( b \) — The known side opposite angle B
• \( A \) — Angle opposite side a (degrees)
• \( B \) — Angle opposite side b (degrees)

Explanation: The ratio of any side to the sine of its opposite angle is constant for all sides and angles in a triangle.

3. Importance of Triangle Calculations

Details: Accurate triangle calculations are essential in fields like architecture, navigation, physics, and computer graphics.

4. Using the Calculator

Tips: Enter two angles (must sum to less than 180°) and one known side length. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use?
A: Angles must be in degrees. Side lengths can be in any unit (meters, feet, etc.) as long as you're consistent.

Q2: Can I use this for right triangles?
A: Yes, but right triangles can also be solved using simpler Pythagorean theorem.

Q3: What if I get an error message?
A: Check that your angles sum to less than 180° and all values are positive.

Q4: How accurate are the results?
A: Results are mathematically precise, though practical measurement limitations apply.

Q5: Can I calculate angles with this?
A: No, this calculates sides. Use our Angle Calculator for angle determinations.