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Unequal Edge Of Tri-Equilateral Trapezoid Given Area Calculator

Formula Used:

\[ \text{Unequal Edge} = \frac{2 \times \text{Area}}{\text{Height}} - \text{Equal Edge} \]

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1. What is the Unequal Edge of Tri-equilateral Trapezoid?

The Unequal Edge of Tri-equilateral Trapezoid is one of the parallel edges that is not equal to the remaining three edges in a tri-equilateral trapezoid, where three edges are of equal length.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \text{Unequal Edge} = \frac{2 \times \text{Area}}{\text{Height}} - \text{Equal Edge} \]

Where:

Explanation: This formula derives from the area formula of a trapezoid, rearranged to solve for the unequal parallel edge.

3. Importance of Unequal Edge Calculation

Details: Calculating the unequal edge is essential for complete geometric characterization of tri-equilateral trapezoids, which is important in various engineering, architectural, and mathematical applications.

4. Using the Calculator

Tips: Enter the area in square meters, height in meters, and equal edge length in meters. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is a tri-equilateral trapezoid?
A: A tri-equilateral trapezoid is a trapezoid where three of its four edges are equal in length - both non-parallel sides and one of the parallel sides.

Q2: Can the unequal edge be zero or negative?
A: No, the unequal edge must be a positive value greater than zero for a valid trapezoid geometry.

Q3: What units should I use?
A: The calculator uses meters for length measurements and square meters for area, but you can use any consistent unit system.

Q4: How accurate is this calculation?
A: The calculation is mathematically exact based on the input values. Accuracy depends on the precision of your measurements.

Q5: Can this formula be used for regular trapezoids?
A: This specific formula is designed for tri-equilateral trapezoids. Regular trapezoids with all sides of different lengths require different calculations.

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