Please,
Can every rectangle (regardless its dimensions' lengths) be inscribed in a circle?
I mean that its 4 vertices must be on a circle...
Thanks
Please,
Can every rectangle (regardless its dimensions' lengths) be inscribed in a circle?
I mean that its 4 vertices must be on a circle...
Thanks
On
Thanks to @EthanBolker and @Evargalo.
As a geometric property for a rectangle, its diagonals have the same length. As such, the diagonals can be diameters for one circle. Consequently, The 4 vertices of any rectangle can form one circle.
By the same reasoning, one can conclude that any quadrilateral whose diagonals are congruent can be inscribed in a circle.
A circle can pass through any three non collinear points.