Special right triangle : , which follows immediately from the Pythagorean theorem. Of all right triangles, the 45°–45°–90° degree triangle has the smallest ratio of the hypotenuse to the sum of the legs, namely . Of all right triangles, the 45°–45°–90° degree triangle has the greatest ratio of the altitude from the hypotenuse to the sum of the legs, namely . Triangles with these angles are the only possible right triangles that are also isosceles triangles in Euclidean geometry. However, in spherical geometry and hyperbolic geometry, there are infinitely many different shapes of right isosceles triangles. This is a triangle whose three angles
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