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
Hope (given name) in Church Latin and her name is translated differently in other languages. Faith, Hope and Charity, the three theological virtues, are names traditionally given to triplet girls, just as Faith and Hope remain common names for twin girls. There were 40 sets of twins named Faith and Hope born in the United States in 2009, the second most common name combination for twin girls. One example were the American triplets Faith, Hope and Charity Cardwell, who were born in 1899 in Texas and were recognized in 1994 by the Guinness Book of World Records as the world's longest lived triplets.