# How can i find the distance between two points

## Distance formula How to Find the Distance Between Two Points - The distance formula made easy!

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Formula Examples. The Distance Formula is a variant of the Pythagorean Theorem that you used back in geometry. Here's how we get from the one to the other:. Suppose you're given the two points —2, 1 and 1, 5 , and they want you to find out how far apart they are. The points look like this:. Distance Formula. You can draw in the lines that form a right-angled triangle, using these points as two of the corners:.

The distance formula is an algebraic expression used to determine the distance between two points with the coordinates x 1 , y 1 and x 2 , y 2. Sometimes you need to find the point that is exactly between two other points. This middle point is called the "midpoint". By definition, a midpoint of a line segment is the point on that line segment that divides the segment in two congruent segments. If the end points of a line segment is x 1 , y 1 and x 2 , y 2 then the midpoint of the line segment has the coordinates:.

Think of the distance between any two points as a line. To find the distance between two points on a line, take the coordinates of the two points. Label one as Point 1, with the coordinates x1 and y1, and label the other Point 2, with the coordinates x2 and y2. Plug these values into the distance formula, which is the square of X2 minus X1 plus the square of Y2 minus Y1, then the square root of that result. To see the distance formula written out, read on! To create this article, 16 people, some anonymous, worked to edit and improve it over time.

If you're seeing this message, it means we're having trouble loading external resources on our website. To log in and use all the features of Khan Academy, please enable JavaScript in your browser. Math Basic geometry Pythagorean theorem Pythagorean theorem and distance between points. Finding distance with Pythagorean theorem. Practice: Distance between two points. Distance formula review.

The distance formula is derived from the Pythagorean theorem. Round your answer to the nearest tenth. Note, it does not matter which 'way' you draw the right triangle. It can be either up above or down below. Solve for the Hypotenuse. Notice the line colored green that shows the same exact mathematical equation both up above, using the pythagorean theorem, and down below using the formula.

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## Distance Between 2 Points

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. How do we Find the Distance between Two Points on a Number Line?

The distance formula is derived from the Pythagorean theorem. To find the distance between two points (x1,y1) and (x2,y2), all that you need to do is use the .
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1. Wyatt F. says: