1. What is the Trapezoid Side Formula?

The trapezoid side formula calculates the length of the non-parallel side (c) when you know the height (h) and the angle (θ) between the base and the side. This is useful in geometry and various practical applications.

2. How Does the Calculator Work?

The calculator uses the trapezoid side formula:

Where:

• \( c \) — Non-parallel side length
• \( h \) — Height of the trapezoid
• \( \theta \) — Angle between base and side

Explanation: The formula uses trigonometric relationships in right triangles formed by the height and sides of the trapezoid.

3. Importance of Side Calculation

Details: Calculating trapezoid sides is essential in geometry problems, construction projects, and various engineering applications where precise measurements are required.

4. Using the Calculator

Tips: Enter height in any length units and angle in degrees. The angle must be between 0 and 90 degrees. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: Can I use this for any trapezoid?
A: This formula works for trapezoids where you know the height and one angle between the base and a non-parallel side.

Q2: What if my angle is in radians?
A: Convert radians to degrees first (1 radian ≈ 57.2958 degrees) or modify the code to accept radians.

Q3: Why does the angle need to be less than 90 degrees?
A: For angles ≥90°, the geometric interpretation changes and the formula wouldn't apply as shown.

Q4: Can I calculate the height if I know the side?
A: Yes, you can rearrange the formula to \( h = c \times \sin(\theta) \).

Q5: Does this work for irregular trapezoids?
A: Yes, as long as you know the height and one angle between base and side.