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The formula calculates the length of the long side of a right kite using the symmetry diagonal and the short side. It's derived from the Pythagorean theorem applied to the right triangles formed by the diagonals.
The calculator uses the formula:
Where:
Explanation: The formula applies the Pythagorean theorem to the right triangle formed by half of the symmetry diagonal and the sides of the kite.
Details: Calculating the long side is essential for determining the complete dimensions of a right kite, which is important in geometry problems, architectural design, and various engineering applications.
Tips: Enter the symmetry diagonal and short side values in meters. Both values must be positive, and the symmetry diagonal must be greater than the short side for a valid result.
Q1: What is a right kite?
A: A right kite is a kite that can be inscribed in a circle with two opposite right angles. It has one diagonal that is a line of symmetry.
Q2: Why must the symmetry diagonal be longer than the short side?
A: This requirement comes from the Pythagorean theorem - the hypotenuse (symmetry diagonal) must be longer than either of the other two sides for a valid right triangle.
Q3: Can this formula be used for all types of kites?
A: No, this formula is specific to right kites where the symmetry diagonal creates right triangles with the sides.
Q4: What units should I use for the inputs?
A: The calculator uses meters, but you can use any consistent unit of length as long as all inputs use the same unit.
Q5: What if I get an error message?
A: Check that both inputs are positive numbers and that the symmetry diagonal is greater than the short side. Also ensure you're entering numerical values only.