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Side B Of Cyclic Quadrilateral Given Both Diagonals Calculator

Formula Used:

\[ Sb = \frac{(d1 \times d2) - (Sa \times Sc)}{Sd} \]

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1. What is Side B of Cyclic Quadrilateral?

Side B of Cyclic Quadrilateral is one of the four sides of a cyclic quadrilateral, which is a quadrilateral whose vertices all lie on a single circle. In a cyclic quadrilateral, opposite angles are supplementary.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ Sb = \frac{(d1 \times d2) - (Sa \times Sc)}{Sd} \]

Where:

Explanation: This formula calculates the length of side B using the lengths of both diagonals and the other three sides of the cyclic quadrilateral.

3. Importance of Calculating Side B

Details: Calculating side B is important in geometry problems involving cyclic quadrilaterals, particularly when solving for unknown side lengths or verifying the properties of cyclic quadrilaterals in various applications.

4. Using the Calculator

Tips: Enter all measurements in meters. All values must be positive numbers greater than zero. The calculator will compute side B based on the input values.

5. Frequently Asked Questions (FAQ)

Q1: What is a cyclic quadrilateral?
A: A cyclic quadrilateral is a quadrilateral whose vertices all lie on a single circle. Opposite angles in a cyclic quadrilateral are supplementary.

Q2: When is this formula applicable?
A: This formula is applicable when you know the lengths of both diagonals and three sides of a cyclic quadrilateral, and need to find the fourth side.

Q3: What are the units of measurement?
A: All measurements should be in the same units (typically meters). The result will be in the same units as the input.

Q4: Are there any limitations to this formula?
A: The formula assumes the quadrilateral is cyclic and that the given measurements are accurate. It may not work for non-cyclic quadrilaterals.

Q5: Can this calculator handle decimal inputs?
A: Yes, the calculator accepts decimal inputs with up to 4 decimal places precision.

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