Parallelogram law
id:
parallelogram-law-169-17952653
title:
Parallelogram law
text:
In mathematics, the simplest form of the parallelogram law belongs to elementary geometry. It states that the sum of the squares of the lengths of the four sides of a parallelogram equals the sum of the squares of the lengths of the two diagonals. We use these notations for the sides: AB, BC, CD, DA. But since in Euclidean geometry a parallelogram necessarily has opposite sides equal, that is, AB = CD and BC = DA, the law can be stated as 2 A B 2 + 2 B C 2 = A C 2 + B D 2 If the parallelogram is
brand slug:
wiki
category slug:
encyclopedia
description:
The sum of the squares of the 4 sides of a parallelogram equals that of the 2 diagonals
original url:
https://en.wikipedia.org/wiki/Parallelogram_law
date created:
2003-11-11T00:52:18Z
date modified:
2024-08-31T20:56:55Z
main entity:
{"identifier":"Q919125","url":"https://www.wikidata.org/entity/Q919125"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/9/96/Parallelogram_law_squares.svg","width":512,"height":512}
fields total:
13
integrity:
16