a pythagorean triple is a set of 3 non zero whole numbers that form the sides of a right triangle.
a set of 3 non zero whole numbers that form the sides of a right triangle?
a pythagorean triple
the name is derived from the pythagorean theorem, stating that every right triangle has side lengths satisfying the formula ; thus, pythagorean triples describe the three integer side lengths of a right triangle. however, right triangles with non-integer sides do not form pythagorean triples. for instance, the triangle with sides and is a right triangle, but is not a pythagorean triple because is not an integer. moreover, and do not have an integer common multiple because is irrational.
pythagorean triple
a special right triangle is a right triangle with some regular feature that makes calculations on the triangle easier, or for which simple formulas exist. for example, a right triangle may have angles that form simple relationships, such as 45°–45°–90°. this is called an "angle-based" right triangle. a "side-based" right triangle is one in which the lengths of the sides form ratios of whole numbers, such as 3 : 4 : 5, or of other special numbers such as the golden ratio. knowing the relationships of the angles or ratios of sides of these special right triangles allows one to quickly calculate various lengths in geometric problems without resorting to more advanced methods.
special right triangle