1. What is the Triangle Solver?

This calculator solves triangles given any three pieces of information (sides or angles). It uses the Law of Sines and Law of Cosines to determine all unknown sides and angles.

2. How Does the Calculator Work?

The calculator uses two fundamental trigonometric formulas:

Where:

• \( a, b, c \) — Sides of the triangle
• \( A, B, C \) — Angles opposite to sides a, b, c respectively

Explanation: These laws relate the sides and angles of any triangle, allowing calculation of unknown values when sufficient information is provided.

3. Triangle Solving Methods

Details: Depending on the given information, the calculator may use:

• Law of Sines (for two angles and a side, or two sides and a non-included angle)
• Law of Cosines (for three sides, or two sides and the included angle)
• Angle sum property (A + B + C = 180°)

4. Using the Calculator

Tips: Enter any three known values (sides or angles). The calculator needs:

• Three sides (SSS), or
• Two sides and the included angle (SAS), or
• Two sides and a non-included angle (SSA), or
• Two angles and a side (ASA or AAS)

5. Frequently Asked Questions (FAQ)

Q1: What units should I use?
A: Use consistent units for sides (e.g., all in cm or all in inches). Angles should be in degrees.

Q2: Can it solve right triangles?
A: Yes, it works for all triangle types including right, acute, and obtuse triangles.

Q3: What if I get an error?
A: Check that your inputs form a valid triangle (sum of angles = 180°, sides satisfy triangle inequality).

Q4: How accurate are the results?
A: Results are accurate to 2 decimal places, but precision depends on input accuracy.

Q5: Can it handle the ambiguous case (SSA)?
A: Yes, it will provide all possible solutions when two triangles satisfy the given information.