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",
Grover (given name) Grover (given name) Grover is a masculine given name. Grover first became popular as a given name in the United States during the presidencies of Grover Cleveland, in part of a long-standing American trend of naming babies after presidents. Cleveland's official first name was Stephen; he was named after Stephen Grover, a former minister at the church his parents attended. However, from childhood, Cleveland's friends addressed him by his middle name instead, and so what was originally the surname Grover became a given name. According to Social Security Administration data, the name Grover increased in frequency by 850 per 100,000