Isosceles triangle the hypotenuse to the right-angled vertex) divides the right triangle into two isosceles triangles. This is because the midpoint of the hypotenuse is the center of the circumcircle of the right triangle, and each of the two triangles created by the partition has two equal radii as two of its sides. Similarly, an acute triangle can be partitioned into three isosceles triangles by segments from its circumcenter, but this method does not work for obtuse triangles, because the circumcenter lies outside the triangle. Generalizing the partition of an acute triangle, any cyclic polygon that contains the center of its circumscribed
Manezhnaya Square, Saint Petersburg Manezhnaya Square, Saint Petersburg Manezhnaya Square (, romanized "Manezhnaya ploschad") ia a square in the Tsentralny District of Saint Petersburg. In some guidebooks this square may be also named a "Riding-School Square": "riding school" is one of the variants in which and may be translated. The shape of Manezhnaya Square is close to the right-angled triangle. Its longest cathetus, the southern side of Manezhnaya Square is formed with "Italyanskaya Street", which runs parallel to Nevsky Prospect, at about hundred meters north of it. The shortest cathetus is "Karavannaya Street", which forms the eastern side of the square running from Nevky