1. What is the Trapezoid Angle Formula?

The trapezoid angle formula calculates the base angles of a trapezoid when given the height and lengths of the two parallel sides (bases). The formula is derived from trigonometric relationships in the trapezoid.

2. How Does the Calculator Work?

The calculator uses the trapezoid angle formula:

Where:

• \( h \) — Height of the trapezoid (m)
• \( base1 \) — Length of the longer base (m)
• \( base2 \) — Length of the shorter base (m)
• \( \alpha \) — Angle between base and leg (degrees)

Explanation: The formula calculates the tangent of the angle by dividing the height by half the difference of the two bases.

3. Importance of Angle Calculation

Details: Calculating trapezoid angles is essential in geometry, construction, and engineering applications where precise measurements are required.

4. Using the Calculator

Tips: Enter the height and both base lengths in meters. All values must be positive numbers, and the bases must be different lengths.

5. Frequently Asked Questions (FAQ)

Q1: What if my trapezoid is isosceles?
A: The formula works for any trapezoid with two parallel sides. For isosceles trapezoids, both base angles will be equal.

Q2: Can I use this for right trapezoids?
A: Yes, though one angle will be 90° and can be identified without calculation.

Q3: What units should I use?
A: The calculator uses meters, but any consistent unit will work as long as all measurements use the same unit.

Q4: Why do I get an error when bases are equal?
A: Equal bases would make a rectangle or parallelogram, not a trapezoid (which requires exactly one pair of parallel sides).

Q5: How accurate is the calculation?
A: The calculation is mathematically precise based on the inputs. Rounding occurs only in the final display.