Q:

# What is the distance formula?

A:

The distance formula indicates that distance is equal to the square root of {x(sub 2) - x(sub 1)} (squared) + {y (sub 2) - y (sub 1)} (squared). The "x" and "y" values reflect the respective horizontal and vertical coordinates of each point on a graph; the formula is used to compute the distance between the two points.

## Keep Learning

For example, students can imagine an exam question that asks for the distance between points with coordinates (-2, 1) and (1, 5) on Graph A. The first step is to assign the proper "x" and "y" values to each coordinate. In this case, x (sub1) = -2, y (sub1) = 1, x (sub2) = 1 and y (sub2) = 5.

The formula shows that distance equals the square root of {-3 - (-1)} (squared) + {5 - (-2)} (squared), further reducing to (-2) (squared) + 7 (squared), or, the square root of 4 plus 49, which is 53. Therefore, the distance between the points is the square root of 53, which is approximately equal to 7.28.

It does not matter which point is denoted the first {x (sub1), y (sub 1)} or second {x (sub2), y (sub2)} in the formula. However, it is important not to mismatch x- and y-values to avoid an incorrect calculation.

Sources:

## Related Questions

• A: The height of an equilateral triangle is equal to the square root of three divided by two and multiplied by the length. The equation for the height of an e... Full Answer >
Filed Under:
• A: When considered in radians, the arctan of the square root of 3 is equal to pi over 3, or 1.047. If the square root of 3 is considered in degrees, the arcta... Full Answer >
Filed Under:
• A: The lengths of the sides of a 30-60-90 triangle always exist in the proportional pattern 1:2:sqrt 3. The shorter side is half as long as the hypotenuse, an... Full Answer >
Filed Under:
• A: Parallel lines are two lines that are the same distance apart along their length. They never touch one another. They look like the outer lines of a road or... Full Answer >
Filed Under:
PEOPLE SEARCH FOR