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",
Shannon (given name) Shannon (given name) Shannon ("wise river") is an Irish name, Anglicised from Sionainn. Alternative spellings include Shannen, Shanon, Shannan, Seanan, and Siannon. The variant Shanna is an Anglicisation of "Sionna" ("possessor of wisdom"). "Sionainn" derives from the Irish name "Abha na tSionainn" for the River Shannon. Because the suffix "ain" indicates a diminutive in Irish, the name is sometimes mistranslated as "little wise one". The name "Sionainn" alludes to Sionna, a goddess in Irish mythology whose name means "possessor of wisdom". She is the namesake and matron of Sionainn, the River Shannon. Sionainn is the longest river in Ireland. Sionainn