The name is derived from the

**Pythagorean**theorem, stating that every**right triangle**has side lengths satisfying the formula a^{2}+ b^{2}= c^{2}; 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**.Considering this, which is the hypotenuse?

In geometry, a

**hypotenuse**(rarely: hypothenuse) is the longest side of a right-angled triangle, the side opposite of the right angle. The length of the**hypotenuse**is the square root of 25, that is, 5.What are the sides of a right triangle called?

The relation between the sides and angles of a right triangle is the basis for trigonometry. The side opposite the right

**angle**is called the hypotenuse (side c in the figure). The sides adjacent to the right**angle**are called legs (or catheti, singular: cathetus).What is the law of sines used for?

In trigonometry, the

**law of sines**,**sine law**,**sine**formula, or**sine**rule is an equation relating the lengths of the sides of a triangle (any shape) to the**sines**of its angles. It can also be**used when**two sides and one of the non-enclosed angles are known.