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# parallelogram law

Let $ABCD$ be a parallelogram with side lengths $u,v$ and whose diagonals have lengths $d_{1}$ and $d_{2}$ then

$2u^{2}+2v^{2}=d_{1}^{2}+d_{2}^{2}.$ |

Related:

Parallelogram, Quadrilateral, Rectangle, Square, Rhombus, ApolloniusTheorem,Median, ParallelogramLaw2

Type of Math Object:

Theorem

Major Section:

Reference

Groups audience:

## Mathematics Subject Classification

51-00*no label found*

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