Euler line the Euler line is parallel to an acute triangle's side "BC" if and only if formula_43 The locus of the centroids of equilateral triangles inscribed in a given triangle is formed by two lines perpendicular to the given triangle's Euler line. In a right triangle, the Euler line coincides with the median to the hypotenuse—that is, it goes through both the right-angled vertex 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,
Kim (given name) – where the child was born. From the 1900s to the 1960s, the name Kim was mainly given to boys, despite the use of this name for both male and female characters in popular literature and, later, movies of the time. In Scandinavia Kim can more often be used as a male name in its own right, being a common short form of Joakim. In Russia (Kim) is a diminutive/nickname of Ioakim (), "Joachim". Its popularity in the early Soviet era was explained as it being also the acronym for (Kommunistichesky Internatsional Molodyozhi, Young Communist International). Kim (given name) Kim