Distance between Two Points in the 2-D Plane
Last updated at April 29, 2026 by Teachoo
Transcript
Distance between Two Points To find Distance between two points A and B We find the horizontal & vertical distance Then, we use Pythagoras Theorem to find Distance Thus, AB = √(2^2+6^2 ) = √(4+36) = √40 = √(4 × 10) = 𝟐√𝟏𝟎 units And, generally we can write Distance = √((𝒙_𝟐−𝒙_𝟏 )^𝟐+(𝒚_𝟐−𝒚_𝟏 )^𝟐 ) Note: It doesn’t matter if we do 𝒙_𝟐−𝒙_𝟏 or 𝒙_𝟏−𝒙_𝟐 since it is squared, resulting value is positive Same for 𝒚_𝟐−𝒚_𝟏 or 𝒚_𝟏−𝒚_𝟐 Let’s do some examples