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Short Height of Skewed Three Edged Prism given Medium Top and Base Edge Calculator

Formula Used:

\[ h_{Short} = h_{Long} - \sqrt{(l_{e(Medium\ Top)})^2 - (l_{e(Medium\ Base)})^2} \]

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1. What is the Short Height of Skewed Three Edged Prism?

The Short Height of Skewed Three Edged Prism is the length of the shortest lateral edge or the minimum vertical distance between top and bottom triangular faces of the Skewed Three Edged Prism.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ h_{Short} = h_{Long} - \sqrt{(l_{e(Medium\ Top)})^2 - (l_{e(Medium\ Base)})^2} \]

Where:

Explanation: This formula calculates the short height by subtracting the square root of the difference between the squares of medium top and base edges from the long height.

3. Importance of Short Height Calculation

Details: Calculating the short height is essential for determining the complete geometry of a skewed three-edged prism, which is important in various engineering and architectural applications.

4. Using the Calculator

Tips: Enter all values in meters. Ensure that the medium top edge is longer than the medium base edge to avoid negative values under the square root.

5. Frequently Asked Questions (FAQ)

Q1: What if the value under the square root is negative?
A: This would indicate invalid input values, as the medium top edge must be longer than the medium base edge for a valid skewed three-edged prism.

Q2: Can this formula be used for any type of prism?
A: No, this formula is specifically designed for skewed three-edged prisms with specific geometric properties.

Q3: What units should I use for the inputs?
A: The calculator expects all inputs in meters, but you can use any consistent unit as long as all values are in the same unit.

Q4: How accurate is this calculation?
A: The calculation is mathematically exact based on the input values, with results rounded to 6 decimal places for precision.

Q5: What are typical applications of this calculation?
A: This calculation is useful in structural engineering, architectural design, and manufacturing where precise geometric measurements of skewed prisms are required.

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