Distance Formula Example Math

Type the two x coordinates and two y coordinates into the boxes below and it will automatically calculate the distance between those 2 points and show you step by step.

Distance formula example math. A 2 b 2 c 2 a2 b2 c2 where. The distance formula itself is actually derived from the pythagorean theorem which is. Distance between two points. I ll plug the two points and the distance into the distance formula.

Getting ready for analytic geometry. D x 2 x 1 2 y 2 y 1 2. Given the two points x1 y1 and x2 y2 the distance d between these points is given by the formula. Ab x2 x1 2 y2 y1 2 a b x 2 x 1 2 y 2 y 1 2.

A 2 b 2 c 2. This is the currently selected item. Math high school geometry analytic geometry distance and midpoints. 12 12 2 24 12 2 12 12 2 24 12 2.

Distance x2 x1 2 y2 y1 2 distance x 2 x 1 2 y 2 y 1 2. C c is the longest side of a right triangle also known as the hypotenuse and. This is the widely used distance formula to determine the distance between any two points in the coordinate plane. D sqrt x 2 x 1 2 y 2 y 1 2 d x2.

The distance formula is not complicated you just need to practice with a graph so you understand what s going on. 2 6 2 3 6 2. 10 sqrt 2 4 2 1 y 2 10 2 4 2 1 y 2. Ab ac2 bc2 x2 x1 2 y2 y1 2 a b a c 2 b c 2 x 2 x 1 2 y 2 y 1 2.

Distance 8 3 2 2 9 2 distance 8 3 2 2 9 2 distance 25 121 distance 25 121 distance 146 distance 146 distance 12 08 distance 12 08. X 1 x 2 2 y 1 y 2 2. 1 0 2 4 2 1 y 2. You re simply making a triangle and finding the length of the hypotenuse.

Use the distance formula to find the distance between 2 3 and 6 6 let x 1 y 1 2 3 let x 2 y 2 6 6. Distance x2 x1 2 y2 y1 2 distance x 2 x 1 2 y 2 y 1 2 substitute the actual values of the points into the distance formula.