1. What is the Trigonometry Triangle Solver?

This calculator uses trigonometric principles to solve for unknown sides in triangles when certain angles and sides are known. It applies the Law of Sines to find missing measurements in oblique triangles.

2. How Does the Calculator Work?

The calculator uses the trigonometric formula:

Where:

• \( a \) — Known side length (meters)
• \( B \) — Angle opposite the unknown side (degrees)
• \( A \) — Angle opposite the known side (degrees)

Explanation: The Law of Sines states that the ratio of the length of a side to the sine of its opposite angle is constant for all sides and angles in a given triangle.

3. Importance of Triangle Calculations

Details: Trigonometric triangle solving is fundamental in fields like engineering, physics, architecture, and navigation. It allows precise calculations of distances and angles when direct measurement isn't possible.

4. Using the Calculator

Tips: Enter the known side length in meters and the two known angles in degrees. All values must be positive (side > 0, angles between 0-180°). The sum of all three angles in a triangle must be 180°.

5. Frequently Asked Questions (FAQ)

Q1: What types of triangles can this calculator solve?
A: It works for any triangle (acute, right, or obtuse) where you know one side and its opposite angle, plus another angle.

Q2: How accurate are the results?
A: Results are accurate to 4 decimal places, assuming precise input values.

Q3: Can this calculator find angles?
A: This version calculates sides only. You would need to know two angles to use this formula.

Q4: What if I get an error or unexpected result?
A: Check that your angles sum to less than 180° and that you've entered the correct opposite angles for each side.

Q5: Are there limitations to this method?
A: This method requires knowing a side and its opposite angle plus another angle. For other combinations, you might need the Law of Cosines.