1. What is the Trapezoid Side Formula?

The formula calculates the longer base (a) of an isosceles trapezoid given the shorter base (b), height (h), and base angle (θ). It's derived from trigonometric relationships in the trapezoid's right triangles.

2. How Does the Calculator Work?

The calculator uses the trapezoid formula:

Where:

• \( a \) — Longer base (calculated)
• \( b \) — Shorter base (input)
• \( h \) — Height (input)
• \( \theta \) — Base angle (input in degrees)

Explanation: The formula accounts for the right triangles formed by dropping perpendiculars from the shorter base to the longer base.

3. Importance of Trapezoid Calculations

Details: Calculating trapezoid sides is essential in geometry, architecture, and engineering for determining dimensions of trapezoidal structures and spaces.

4. Using the Calculator

Tips: Enter the shorter base (b), height (h), and base angle (θ) in degrees. All values must be positive, and the angle must be less than 90°.

5. Frequently Asked Questions (FAQ)

Q1: Does this work for all trapezoids?
A: This formula is specifically for isosceles trapezoids (where non-parallel sides are equal).

Q2: What if my trapezoid isn't isosceles?
A: You would need different formulas that account for two different angles or side lengths.

Q3: Can I use radians instead of degrees?
A: The calculator currently accepts degrees only. Convert radians to degrees first if needed (1 radian ≈ 57.2958°).

Q4: What's the range of valid angles?
A: The angle must be between 0° and 90° (exclusive) for the formula to work.

Q5: How accurate are the results?
A: Results are accurate to two decimal places, but real-world accuracy depends on your input measurements.