Distance Formula

The distance formula is a formula used in mathematics to determine the distance between two points in a coordinate system. This formula, which is derived from the Pythagorean theorem, is represented as √[(x₂ - x₁)² + (y₂ - y₁)²] in a 2-dimensional plane. Here, (x₁, y₁) and (x₂, y₂) denote the coordinates of the two points in question.

The problems about Distance Formula

Topic	Problem	Solution
None	Find the distance $d (P_{1}, P_{2})$ be…	We are given two points $P_{1} = (4, 2)$ and $P_{2} = (- 1, 4)$ and we are asked to find the distance betw…
None	Find the distance $d (A, B)$ between points $A$ an…	We are given two points A(5,6) and B(-4,18) and we are asked to find the distance between these two…
None	7. A coordinate system is superimposed on a billi…	Find the distance between points A and B: $A B = \sqrt{(6 - 2)^{2} + (5 - 3)^{2}}$
None	类型 Algebra 问题 What is the shortest distance betwe…	Complete the square for the first equation by adding $(- 24 / 2)^{2}$ and $(- 32 / 2)^{2}$ to both sides,…
None	Find the distance between the points \( (-9,-4) \…	1. Find the differences in x-coordinates and y-coordinates: $Δ x = - 4 - (- 9) = 5$ , \( \Delt…