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Equal Edge of Tri-Equilateral Trapezoid Given Area Calculator

Formula Used:

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

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1. What is the Equal Edge of Tri-Equilateral Trapezoid?

The Equal Edge of a Tri-Equilateral Trapezoid is one of the parallel edges and any of the non-parallel legs of the trapezoid which are equal in length. In a tri-equilateral trapezoid, three edges are of equal length.

2. How Does the Calculator Work?

The calculator uses the formula:

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

Where:

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

3. Importance of Equal Edge Calculation

Details: Calculating the equal edge is essential for geometric constructions, architectural designs, and various engineering applications where precise dimensions of trapezoidal shapes are required.

4. Using the Calculator

Tips: Enter the area in square meters, height in meters, and unequal edge in meters. All values must be positive numbers with height greater than zero.

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.

Q2: Can the unequal edge be zero?
A: No, the unequal edge must be a positive value. If the unequal edge were zero, the shape would become a triangle.

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

Q4: What if I get a negative result?
A: A negative result indicates that the input values are inconsistent with a valid trapezoid shape. Please verify your measurements.

Q5: How accurate is this calculation?
A: The calculation is mathematically exact based on the input values. The accuracy depends on the precision of your measurements.

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