Triangle Calculator Using Points

Distance Between Points Formula:

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

Point A X-coordinate (x1):

Point A Y-coordinate (y1):

Point B X-coordinate (x2):

Point B Y-coordinate (y2):

Side Length:

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1. What is the Distance Between Points Formula?

The distance formula calculates the straight-line distance between two points in a Cartesian plane. It's derived from the Pythagorean theorem and is fundamental in geometry and trigonometry.

2. How Does the Calculator Work?

The calculator uses the distance formula:

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

Where:

\( x_1, y_1 \) — Coordinates of the first point
\( x_2, y_2 \) — Coordinates of the second point

Explanation: The formula calculates the hypotenuse of a right triangle formed by the differences in x and y coordinates.

3. Importance of Distance Calculation

Details: Calculating distances between points is essential for determining side lengths in geometric shapes, navigation systems, computer graphics, and many engineering applications.

4. Using the Calculator

Tips: Enter the coordinates of two points in meters. The calculator will compute the straight-line distance between them.

5. Frequently Asked Questions (FAQ)

Q1: Can this be used for 3D coordinates?
A: No, this calculator is for 2D points only. For 3D, you would need to extend the formula to include the z-coordinate.

Q2: What units does this calculator use?
A: The calculator uses meters, but any consistent unit can be used as long as all inputs are in the same unit.

Q3: How accurate are the results?
A: Results are accurate to two decimal places. For higher precision, enter more decimal places in your inputs.

Q4: Can I calculate multiple sides at once?
A: This calculator computes one side at a time. For a complete triangle, you would need to calculate all three sides separately.

Q5: What if my points are the same?
A: The distance will be zero, indicating the points are coincident.