1. What is the Side B Calculation?

This calculator determines the length of side B in a triangle when given sides A and C, and angles A and C. It uses trigonometric relationships to find the missing side length.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( Sb \) — Side B of Triangle (m)
• \( Sa \) — Side A of Triangle (m)
• \( Sc \) — Side C of Triangle (m)
• \( \angle A \) — Angle A of Triangle (rad)
• \( \angle C \) — Angle C of Triangle (rad)

Explanation: This formula uses the cosine function to calculate the length of side B based on the given sides and their adjacent angles.

3. Importance of Side B Calculation

Details: Calculating unknown side lengths is fundamental in trigonometry and geometry, with applications in engineering, architecture, physics, and navigation.

4. Using the Calculator

Tips: Enter all values in the specified units. Side lengths must be positive values in meters. Angles must be positive values in radians.

5. Frequently Asked Questions (FAQ)

Q1: Why use radians instead of degrees?
A: Trigonometric functions in programming languages typically use radians. If you have degrees, convert them using: radians = degrees × π/180.

Q2: What if I only know degrees, not radians?
A: Convert degrees to radians by multiplying by π/180 (approximately 0.0174533).

Q3: Does this work for all types of triangles?
A: This specific formula works for triangles where you know sides A and C and their opposite angles A and C respectively.

Q4: What's the precision of the calculation?
A: The calculator provides results with up to 6 decimal places for accuracy.

Q5: Can I use this for right triangles?
A: Yes, this formula works for right triangles as well as other triangle types.