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Aug 1, 2024 · To find the length of a line segment with endpoints: Use the distance formula: d = √ [ (x₂ - x₁)² + (y₂ - y₁)²] Replace the values for the coordinates of the endpoints, (x₁, y₁) and (x₂, y₂). Perform the calculations to get the value of the length of the line segment.
- Gabriela Diaz
May 30, 2020 · Find the length of the line segment. Answer: Length of DE = 3.61 units (corrected to 3 s.f) or √13 units. 2) Given that we have a line segment FG, where F (-3, 15) and G (9, -4). Find the length of the line segment. Answer: Length of FG = 22.5 units (corrected to 3 s.f) or √505 units. And that’s all we have for today, math students!
Feb 4, 2022 · Learn how to calculate the midpoint and length of a line segment. This lessons explains the development of the formula and gives examples of calculations. Go...
- 23 min
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- JensenMath
The Formula. Here’s the star of the show: the formula. The distance between two points (x1, y1) and (x2, y2) is given by: sqrt((x2-x1)^2 + (y2-y1)^2).It’s not just numbers and symbols, it’s the key to unlocking the secrets of the universe… well, at least the length of line segments!
In general (unless the line is purely horizontal or vertical), a line segment and the two corresponding segments according to the two basic directions form a right triangle as the one shown in the figure below, where the x-and y-components of the segment AB, namely AB x and AB y, form the right angle, while the original segment AB forms the third side of the triangle, known in geometry as the ...
Key learning points. Any line segment can be turned into a right-angled triangle by adding two lines which meet at 90°. Calculating the horizontal distance gives the length of one side. Calculating the vertical distance gives the length of the other side. These two shorter sides lengths can be used to calculate the length of the line segment.
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Extend a Line Segment to a Specific Length. If you want to extend a line segment to achieve a specific length, this calculator is your go-to tool. By inputting the original segment’s endpoints and the new desired length, the calculator will give you the coordinates of the new endpoints after extension. Determine the Angle Between Two Line ...