# Orthodiagonal quadrilateral ( circumradii 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 circumradii of the four triangles formed by the diagonal intersection P and the vertices of the convex quadrilateral.

## Variables

R_{1} | The circumradius of one of the triangles(APB) (m) |

R_{3} | The circumradius of one of the triangles(DPA)) (m) |

R_{2} | The circumradius of one of the triangles(CPB)) (m) |

R_{4} | The circumradius of one of the triangles(DPA) (m) |