1. What is Base Length of Polygram?

The Base Length of Polygram is the length of the unequal side of the isosceles triangle which forms as the spikes of the Polygram or the side length of the polygon of Polygram.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( l_{Base} \) — Base Length of Polygram (m)
• \( l_{e} \) — Edge Length of Polygram (m)
• \( h_{Spike} \) — Spike Height of Polygram (m)

Explanation: This formula calculates the base length using the Pythagorean theorem applied to the right triangle formed by half of the base, the spike height, and the edge length.

3. Importance of Base Length Calculation

Details: Calculating the base length is essential for understanding the geometric properties of polygrams and for various applications in design, architecture, and mathematical analysis.

4. Using the Calculator

Tips: Enter edge length and spike height in meters. Both values must be positive, and edge length must be greater than spike height for valid results.

5. Frequently Asked Questions (FAQ)

Q1: What is a Polygram?
A: A polygram is a type of geometric figure that consists of a regular polygon with identical isosceles triangles attached to each side.

Q2: Why must edge length be greater than spike height?
A: This ensures the square root calculation produces a real number result, as the expression under the square root must be non-negative.

Q3: Can this formula be used for all types of polygrams?
A: This specific formula applies to polygrams where the spikes are formed by isosceles triangles with the given edge length and spike height.

Q4: What units should be used for input values?
A: The calculator uses meters, but any consistent unit of length can be used as long as both inputs are in the same unit.

Q5: How accurate is this calculation?
A: The calculation is mathematically exact based on the Pythagorean theorem, assuming precise input values.