1. What is a Tangential Quadrilateral?

A tangential quadrilateral is a convex quadrilateral whose sides are all tangent to a single circle within the quadrilateral. This circle is called the incircle of the quadrilateral.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( S_c \) — Side C of Tangential Quadrilateral (m)
• \( S_b \) — Side B of Tangential Quadrilateral (m)
• \( S_d \) — Side D of Tangential Quadrilateral (m)
• \( S_a \) — Side A of Tangential Quadrilateral (m)

Explanation: In a tangential quadrilateral, the sums of lengths of opposite sides are equal. This formula calculates the fourth side when three sides are known.

3. Importance of Side Calculation

Details: Calculating the unknown side of a tangential quadrilateral is essential in geometry problems, architectural design, and various engineering applications where precise measurements are required.

4. Using the Calculator

Tips: Enter the known side lengths in meters. All values must be non-negative numbers. The calculator will compute the unknown side using the tangential quadrilateral property.

5. Frequently Asked Questions (FAQ)

Q1: What is a tangential quadrilateral?
A: A tangential quadrilateral is a four-sided polygon where all sides are tangent to a single inscribed circle.

Q2: Why do opposite sides sum to the same value?
A: This is a fundamental property of tangential quadrilaterals, known as Pitot's Theorem, which states that the sums of lengths of opposite sides are equal.

Q3: Can this calculator handle decimal inputs?
A: Yes, the calculator accepts decimal values with up to 4 decimal places for precise calculations.

Q4: What if the result is negative?
A: A negative result indicates that the input values don't form a valid tangential quadrilateral according to the given formula.

Q5: Are there other properties of tangential quadrilaterals?
A: Yes, tangential quadrilaterals also have properties related to their angles, area, and the relationship between their sides and the incircle radius.