Integer triangle rational formula_14 where formula_15 reduces the generated Heronian triangle to its primitive and formula_16 scales up this primitive to the required size. A Pythagorean triangle is right angled and Heronian. Its three integer sides are known as a Pythagorean triple or Pythagorean triplet or Pythagorean triad. All Pythagorean triples formula_17 with hypotenuse formula_18 which are primitive (the sides having no common factor) can be generated by where "m" and "n" are coprime integers and one of them is even with "m" > "n". Every even number greater than 2 can be the leg of a Pythagorean triangle (not necessarily primitive)
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.