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The formula to find the distance between two coordinates ((x_1, y_1)) and ((x_2, y_2)) in a Cartesian plane is given by the distance formula:

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

This formula calculates the straight-line distance between the two points.

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How can I find the length of sides using coordinates?

To find the length of a side between two points given their coordinates, use the distance formula: ( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} ), where ((x_1, y_1)) and ((x_2, y_2)) are the coordinates of the two points. Simply substitute the values of the coordinates into the formula and calculate the result. This will give you the length of the side between those two points in a Cartesian plane.


How do you Use Coordinates to find length of Sides?

To find the length of a side between two points using coordinates, apply the distance formula, which is derived from the Pythagorean theorem. If the points are (A(x_1, y_1)) and (B(x_2, y_2)), the length of the side (AB) is calculated as (d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}). This formula computes the straight-line distance between the two points in a Cartesian plane. By substituting the coordinates of the points into the formula, you can easily determine the length of the side.


How can you find the length of a segment given two points?

To find the length of a segment given two points, use the distance formula: (d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}), where ((x_1, y_1)) and ((x_2, y_2)) are the coordinates of the two points. Simply plug in the coordinates into the formula and calculate the result to obtain the length of the segment.


How do you find the length if you have the coordinates and the midpoint?

To work out the length, you need the coordinates of both endpoints. If you have one endpoint and the midpoint, you can treat this as two endpoints and then double the answer you get to calculating the length. To calculate the length, work out the difference in x axis values and difference in y axis values. You then find the square root of (x2+y2). This is the length between the two coordinates.


How can you find the radius of a circle with coordinates?

Work out the length of the coordinates and half it.

Related Questions

How can I find the length of sides using coordinates?

To find the length of a side between two points given their coordinates, use the distance formula: ( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} ), where ((x_1, y_1)) and ((x_2, y_2)) are the coordinates of the two points. Simply substitute the values of the coordinates into the formula and calculate the result. This will give you the length of the side between those two points in a Cartesian plane.


How do you Use Coordinates to find length of Sides?

To find the length of a side between two points using coordinates, apply the distance formula, which is derived from the Pythagorean theorem. If the points are (A(x_1, y_1)) and (B(x_2, y_2)), the length of the side (AB) is calculated as (d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}). This formula computes the straight-line distance between the two points in a Cartesian plane. By substituting the coordinates of the points into the formula, you can easily determine the length of the side.


When you want to find the length of a segment you use the what formula?

The distance formula providing you know the coordinates of its end points


How can you find the length of a segment given two points?

To find the length of a segment given two points, use the distance formula: (d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}), where ((x_1, y_1)) and ((x_2, y_2)) are the coordinates of the two points. Simply plug in the coordinates into the formula and calculate the result to obtain the length of the segment.


How do you find the length if you have the coordinates and the midpoint?

To work out the length, you need the coordinates of both endpoints. If you have one endpoint and the midpoint, you can treat this as two endpoints and then double the answer you get to calculating the length. To calculate the length, work out the difference in x axis values and difference in y axis values. You then find the square root of (x2+y2). This is the length between the two coordinates.


How can you find the radius of a circle with coordinates?

Work out the length of the coordinates and half it.


If a segment connecting two points is you can find the distance between the points by subtracting the coordinates and take the absolute slur?

To find the distance between two points on a segment, you subtract their coordinates and take the absolute value of the result. This gives you the length of the segment between the two points. For example, for points ( A(x_1, y_1) ) and ( B(x_2, y_2) ), the distance in one dimension would be ( |x_2 - x_1| ) for the x-coordinates, or ( |y_2 - y_1| ) for the y-coordinates. In two dimensions, you would use the distance formula, which incorporates both coordinates.


Given the coordinates of a triangle how do you find the length of each side?

This is 3 separate problems that can be solved using the same equation. Take the coordinates of the points of one side and caluclate the length of the line using the formula. This formula uses the X & Y values to calculate the Length. Repeat the same calculation for the other two sides.


How can one determine the distance between two points on a graph using the keyword "how to find distance on a graph"?

To determine the distance between two points on a graph, you can use the distance formula, which is derived from the Pythagorean theorem. This formula calculates the distance as the square root of the sum of the squares of the differences in the x-coordinates and y-coordinates of the two points. By plugging in the coordinates of the two points into the formula, you can find the distance between them on the graph.


What is the length of a line segment between -10 8 and -10 3?

To find the length of a line segment between the points (-10, 8) and (-10, 3), we can use the distance formula. Since both points have the same x-coordinate, the length is simply the difference in their y-coordinates: |8 - 3| = 5. Therefore, the length of the line segment is 5 units.


How do you find a vertical distance of a triangle?

To find the vertical distance (or height) of a triangle, you can use the formula for the area of a triangle: Area = 1/2 × base × height. If you know the area and the length of the base, you can rearrange the formula to solve for height: height = (2 × Area) / base. Alternatively, if you have the coordinates of the triangle's vertices, you can use the formula for the area based on those coordinates to find the height.


Why is subtracting y and x coordinates help you find the length on the vertical segment?

Subtracting the y-coordinates of two points gives you the vertical distance between them, which represents the length of the vertical segment. This is because the y-coordinate indicates the vertical position on a Cartesian plane. The formula for the length of the vertical segment is |y2 - y1|, where y1 and y2 are the y-coordinates of the two points. The absolute value ensures that the distance is always a positive value, regardless of the order of the points.