Long Side Of Right Kite Given Both Diagonals Calculator

Formula Used:

\[ S_{Long} = \frac{d_{Symmetry} \times d_{Non\ Symmetry}}{2 \times S_{Short}} \]

Symmetry Diagonal of Right Kite:

Non Symmetry Diagonal of Right Kite:

Short Side of Right Kite:

Long Side of Right Kite:

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1. What is the Long Side of Right Kite Formula?

The formula calculates the length of the longer side of a right kite using both diagonals and the shorter side length. A right kite is a kite that can be inscribed in a circle with one pair of opposite angles that are right angles.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ S_{Long} = \frac{d_{Symmetry} \times d_{Non\ Symmetry}}{2 \times S_{Short}} \]

Where:

\( S_{Long} \) — Long Side of Right Kite (m)
\( d_{Symmetry} \) — Symmetry Diagonal of Right Kite (m)
\( d_{Non\ Symmetry} \) — Non Symmetry Diagonal of Right Kite (m)
\( S_{Short} \) — Short Side of Right Kite (m)

Explanation: This formula derives from the geometric properties of right kites and the relationship between their diagonals and sides.

3. Importance of Long Side Calculation

Details: Calculating the long side of a right kite is essential for geometric constructions, architectural designs, and various engineering applications where precise measurements of kite-shaped structures are required.

4. Using the Calculator

Tips: Enter all diagonal lengths and the short side length in meters. All values must be positive numbers greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is a right kite?
A: A right kite is a kite that can be inscribed in a circle and has one pair of opposite angles that are right angles (90 degrees).

Q2: How are the diagonals related in a right kite?
A: In a right kite, the symmetry diagonal bisects the non-symmetry diagonal at right angles, and the symmetry diagonal also bisects the angles at its endpoints.

Q3: Can this formula be used for all types of kites?
A: No, this specific formula applies only to right kites with the geometric properties described above.

Q4: What are practical applications of right kites?
A: Right kites are used in various designs including architectural elements, kite flying designs, and certain mechanical components.

Q5: How accurate is this calculation?
A: The calculation is mathematically precise when accurate measurements are provided, as it's based on geometric principles.