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Calculate Sides of a Parallelogram

Distance Formula:

\[ s = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]

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1. What is the Distance Formula?

The distance formula calculates the length between two points in a coordinate plane. For a parallelogram, this gives the length of its sides when you input coordinates of adjacent vertices.

2. How Does the Calculator Work?

The calculator uses the distance formula:

\[ s = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]

Where:

Explanation: The formula comes from the Pythagorean theorem, calculating the hypotenuse of a right triangle formed by the differences in x and y coordinates.

3. Importance of Side Length Calculation

Details: Calculating side lengths is fundamental in geometry for determining perimeter, area, and other properties of parallelograms and other polygons.

4. Using the Calculator

Tips: Enter coordinates of two adjacent vertices of the parallelogram. The calculator will compute the length of the side connecting these points.

5. Frequently Asked Questions (FAQ)

Q1: Can this calculate both sides of a parallelogram?
A: Yes, but you need to run separate calculations for each pair of adjacent vertices.

Q2: Does this work for 3D coordinates?
A: No, this is for 2D coordinates only. For 3D, you'd need to extend the formula with a z-component.

Q3: What units does this use?
A: The result is in the same units as your input coordinates.

Q4: Can I use this for rectangles?
A: Yes, since rectangles are a special type of parallelogram.

Q5: How accurate is the calculation?
A: The calculator provides results with 4 decimal places for precision.

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