Point Distance Formula Math

The distance formula is distance x 2 x 1 2 y 2 y 1 2.

Point distance formula math. Use the pythagorean theorem to find the distance between two points on the coordinate plane. Is the distance between the y y coordinates of the two points the distance formula in the xy xy plane can be thought of as the length of the hypotenuse of the right triangle with vertices p 1 x 1 y 1 p 1. I just plug the coordinates into the distance formula. The distance formula tells us that we can find the distance between two points on a coordinate system x1 y1 and x2 y2 by taking the square root of x2 x1 2 y2 y1 2.

Quick explanation when we know the horizontal and vertical distances between two points we can calculate the straight line distance like this. Fractions should be entered with a forward such as 3 4 for the fraction frac 3 4. The distance formula is derived from the pythagorean theorem. Distance distance y2 y1 y2 y1 x2 x1 x2 x1 finally from the above equation we can calculate the distance between the points.

The distance formula itself is actually derived from the pythagorean theorem which is a 2 b 2 c 2 a2 b2 c2 where c c is the longest side of a right triangle also known as the hypotenuse and. Distance a2 b2 imagine you know the location of two points a and b like here. Math high school geometry analytic geometry distance and midpoints. Enter any integer decimal or fraction.

How to enter numbers. Hence the distance between two points x 1 y 1 and x 2 y 2 is x 2 x 1 2 y 2 y 1 2 similarly the distance of a point p x y from the origin o 0 0 in the cartesian plane is given by the formula. Distance between two points. Google classroom facebook twitter.

Find the distance between the points 2 3 and 4 4. Let us solve some problems based on the distance formula. What is the distance formula. Then the distance is sqrt 53 or about 7 28 rounded to two decimal places.

Just type numbers into the boxes below and the calculator will automatically calculate the distance between those 2 points.