Right triangle altitude to the hypotenuse is related to the legs of the right triangle by For solutions of this equation in integer values of "a, b, f", and "c", see here. The altitude from either leg coincides with the other leg. Since these intersect at the right-angled vertex, the right triangle's orthocenter—the intersection of its three altitudes—coincides with the right-angled vertex. The Pythagorean theorem states that: In any right triangle, the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares whose sides are the
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.