Rectangle in the context of "Square"

In geometry, a hypotenuse is the side of a right triangle opposite to the right angle. It is the longest side of any such triangle; the two other shorter sides of such a triangle are called catheti or legs. Every rectangle can be divided into a pair of right triangles by cutting it along either diagonal; the diagonals are the hypotenuses of these triangles.

The length of the hypotenuse can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the two legs. As an algebraic formula, this can be written as ${\displaystyle a^{2}+b^{2}=c^{2}}$, where ⁠${\displaystyle a}$⁠ is the length of one leg, ⁠${\displaystyle b}$⁠ is the length of the other leg, and ⁠${\displaystyle c}$⁠ is the length of the hypotenuse. For example, if the two legs of a right triangle have lengths 3 and 4, respectively, then the hypotenuse has length ⁠${\displaystyle 5}$⁠, because ⁠${\displaystyle \textstyle 3^{2}+4^{2}=25=5^{2}}$⁠.

A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways of writing it as a product, 1 × 5 or 5 × 1, involve 5 itself. However, 4 is composite because it is a product (2 × 2) in which both numbers are smaller than 4. Primes are central in number theory because of the fundamental theorem of arithmetic: every natural number greater than 1 is either a prime itself or can be factorized as a product of primes that is unique up to their order.

The property of being prime is called primality. A simple but slow method of checking the primality of a given number ⁠${\displaystyle n}$⁠, called trial division, tests whether ⁠${\displaystyle n}$⁠ is a multiple of any integer between 2 and ⁠${\displaystyle {\sqrt {n}}}$⁠. Faster algorithms include the Miller–Rabin primality test, which is fast but has a small chance of error, and the AKS primality test, which always produces the correct answer in polynomial time but is too slow to be practical. Particularly fast methods are available for numbers of special forms, such as Mersenne numbers. As of October 2024 the largest known prime number is a Mersenne prime with 41,024,320 decimal digits.

A coffin or casket is a funerary box used for viewing or keeping a corpse, for burial, entombment or cremation. Coffins are sometimes referred to as caskets, particularly in American English.

A distinction is commonly drawn between "coffins" and "caskets", using "coffin" to refer to a tapered hexagonal or octagonal (also considered to be anthropoidal in shape) box and "casket" to refer to a rectangular box, often with a split lid used for viewing the deceased as seen in the picture. Receptacles for cremated and cremulated human ashes (sometimes called cremains) are called urns.

A wall panel is single piece of material, usually flat and cut into a rectangular shape, that serves as the visible and exposed covering for a wall. Wall panels are functional as well as decorative, providing insulation and soundproofing, combined with uniformity of appearance, along with some measure of durability or ease of replaceability. While there is no set size limit for a piece of material fulfilling these functions, the maximum practical size for wall panels has been suggested to be about 0.6 to 2.4 m (2 to 8 ft), to allow for transportation.

A stretcher bar is used to construct a wooden stretcher used by artists to mount their canvases.

They are traditionally a wooden framework support on which an artist fastens a piece of canvas. They are also used for small-scale embroidery to provide steady tension, affixing the edges of the fabric with push-pins or a staple gun before beginning to sew, and then removing it from the stretcher when the work is complete. Stretchers are usually in the shape of a rectangle, although shaped canvases are also possible.

Chinampa (Nahuatl languages: chināmitl [tʃiˈnaːmitɬ]) is a technique used in Mesoamerican agriculture which relies on small, rectangular areas of fertile arable land to grow crops on the shallow lake beds in the Valley of Mexico. The word chinampa has Nahuatl origins, chinampa meaning “in the fence of reeds”. They are built up on wetlands of a lake or freshwater swamp for agricultural purposes, and their proportions ensure optimal moisture retention. This method was also used and occupied most of Lake Xochimilco. The United Nations designated it a Globally Important Agricultural Heritage System in 2018.

Although different technologies existed during the Post-classic and Colonial periods in the basin, chinampas have raised many questions about agricultural production and political development. After the Aztec Triple Alliance formed, the conquest of southern basin city-states, such as Xochimilco, was one of the first strategies of imperial expansion. Before this time, farmers maintained small-scale chinampas adjacent to their households and communities in the freshwater lakes of Xochimilco and Chalco. The Aztecs did not invent the chinampa technology but rather were the first to develop it to a large scale cultivation. Sometimes referred to as "floating gardens," chinampas are artificial islands that were created by interweaving reeds with stakes beneath the lake's surface, creating underwater fences. A buildup of soil and aquatic vegetation would be piled into these "fences" until the top layer of soil was visible on the water's surface.

A backboard is a piece of basketball equipment. It is a raised vertical board with an attached basket consisting of a net suspended from a hoop. It is made of a flat, rigid piece of, often Plexiglas or tempered glass which also has the properties of safety glass when accidentally shattered. It is usually rectangular as used in NBA, NCAA and international basketball. In recreational environments, a backboard may be oval or a fan-shape, particularly in non-professional games.

The top of the hoop is 10 feet (3.05 m) above the ground. Regulation backboards are 6 feet (1.83 m) wide by 3.5 feet (1.07 m) tall. All basketball rims (hoops) are 18 inches (46 cm) in diameter. The inner rectangle on the backboard is 24 inches (61 cm) wide by 18 inches (46 cm) tall, and helps a shooter determine the proper aim and banking for either a layup or distance shot.