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Long Side of Kite given Perimeter and Short Side Calculator

Formula Used:

\[ \text{Long Side of Kite} = \frac{\text{Perimeter of Kite}}{2} - \text{Short Side of Kite} \] \[ S_{\text{Long}} = \frac{P}{2} - S_{\text{Short}} \]

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1. What is the Long Side of Kite Formula?

The formula calculates the length of the longer side of a kite when the perimeter and the length of the shorter side are known. A kite is a quadrilateral with two distinct pairs of adjacent sides that are equal in length.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \text{Long Side of Kite} = \frac{\text{Perimeter of Kite}}{2} - \text{Short Side of Kite} \] \[ S_{\text{Long}} = \frac{P}{2} - S_{\text{Short}} \]

Where:

Explanation: Since a kite has two pairs of equal adjacent sides, the perimeter is divided by 2 to get the sum of one pair of adjacent sides. Subtracting the short side gives the long side.

3. Importance of Kite Side Calculation

Details: Calculating the side lengths of a kite is essential in geometry problems, architectural design, and various engineering applications where kite-shaped structures are used.

4. Using the Calculator

Tips: Enter the perimeter and short side values in meters. Both values must be positive numbers, and the short side must be less than half the perimeter.

5. Frequently Asked Questions (FAQ)

Q1: What is a kite in geometry?
A: A kite is a quadrilateral with two distinct pairs of adjacent sides that are equal in length.

Q2: Why does the formula work?
A: The perimeter of a kite is the sum of all four sides. Since opposite sides are equal in pairs, the perimeter equals 2×(long side + short side).

Q3: What are the units for measurement?
A: The calculator uses meters, but the formula works with any consistent unit of length (cm, inches, feet, etc.).

Q4: Can this formula be used for all quadrilaterals?
A: No, this formula is specific to kites where two pairs of adjacent sides are equal.

Q5: What if the short side is exactly half the perimeter?
A: This would make the long side zero, which is not possible for a real kite. The short side must be less than half the perimeter.

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