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
Shana (given name) Shana (given name) Shana is a feminine given name of multiple origins. The pronunciation of the name varies depending upon the context and source. According to Bruce Lansky, Shana occurs as a familiar diminutive or form of Shannon, a Gaelic name, meaning "small and wise." It relates to the longest river in Ireland, the Shannon, which earned its namesake from Celtic goddess Sionna, who sought the enchanted hazelnuts of wisdom. Legends vary about the creation of the river, but they all recount the drowning of the Sionna, granddaughter of the great sea god Lir, usually at an undersea well. Some