Right triangle and the midpoint of the side opposite that vertex. This is because the right triangle's orthocenter, the intersection of its altitudes, falls on the right-angled vertex while its circumcenter, the intersection of its perpendicular bisectors of sides, falls on the midpoint of the hypotenuse. In any right triangle the diameter of the incircle is less than half the hypotenuse, and more strongly it is less than or equal to the hypotenuse times formula_44 In a right triangle with legs "a", "b" and hypotenuse "c", with equality only in the isosceles case. If the altitude from the hypotenuse is denoted "h",
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