# Euler's quadrilateral theorem

## Description

In any convex quadrilateral the sum of the squares of the four sides is equal to the sum of the squares of the two diagonals plus four times the square of the line segment connecting the midpoints of the diagonals.

Related formulas## Variables

a | Side (m) |

b | Side (m) |

c | Side (m) |

d | Side (m) |

p | Diagonal (m) |

q | Diagonal (m) |

x | Line segment connecting the midpoints of the diagonals (m) |