# Orthodiagonal quadrilateral (altitudes of the four triangles)

## Description

A quadrilateral is a polygon with four sides (or edges) and four vertices or corners. An orthodiagonal quadrilateral is a quadrilateral in which the diagonals cross at right angles. In other words, it is a four-sided figure in which the line segments between non-adjacent vertices are orthogonal to each other. For any orthodiagonal quadrilateral (ABCD), there is a relation between the altitudes of the four triangles formed by the diagonal intersection P and the vertices of the convex quadrilateral.

## Variables

h_{1} | The altitude of one of the triangles from the intersection P to the opposite side(AB) (m) |

h_{3} | The altitude of one of the triangles from the intersection P to the opposite side(CD) (m) |

h_{2} | The altitude of one of the triangles from the intersection P to the opposite side(BC) (m) |

h_{4} | The altitude of one of the triangles from the intersection P to the opposite side(DA) (m) |