# Distance Between Two Points Flashcards, test questions and answers

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## What is Distance Between Two Points?

Distance between two points is a mathematical concept used to measure the space between two distinct locations in a given coordinate system. It is measured using the Pythagorean theorem, which states that for any pair of points (x1, y1) and (x2, y2) on a flat surface, the distance d between them can be calculated by:d = âˆš(x2âˆ’x1)Â²+(y2âˆ’y1)Â² The formula works equally well for two-dimensional and three-dimensional coordinates systems. For example, if we want to calculate the distance between two cities located at latitude/longitude pairs such as (35Â°N 78Â°W) and (36.5Â°N 77.9Â°W), we would use this formula with their respective x and y values:d = âˆš((77.9 âˆ’ 78)Â² + (36.5 âˆ’ 35)Â² ) which yields 4 km as an answer. More complicated shapes or distances across curved surfaces require more sophisticated formulas; however, in most cases this basic version will suffice for measuring straight-line distances on flat ground or in non-spherical environments like underwater caves or mountain ranges without significant elevation changes. Additionally, it can also be used to calculate things like flight time or driving time when you know the average speed of travel along those routes just multiply the result from the formula by that speed factor to get your final answer.