In geometry and trigonometry, a right angle is an angle of exactly 90 degrees or /2 radians[1] corresponding to a quarter turn.[2] If a ray is placed so that its endpoint is on a line and the adjacent angles are equal, then they are right angles.[3] The term is a calque of Latin angulus rectus; here rectus means "upright", referring to the vertical perpendicular to a horizontal base line.
Closely related and important geometrical concepts are perpendicular lines, meaning lines that form right angles at their point of intersection, and orthogonality, which is the property of forming right angles, usually applied to vectors. The presence of a right angle in a triangle is the defining factor for right triangles,[4] making the right angle basic to trigonometry.
^"Right Angle". Math Open Reference. Retrieved 26 April 2017.
In geometry and trigonometry, a rightangle is an angle of exactly 90 degrees or π {\displaystyle \pi } /2 radians corresponding to a quarter turn. If...
A right triangle or right-angled triangle, sometimes called an orthogonal triangle or rectangular triangle, is a triangle in which two sides are perpendicular...
§ Signed angles): An angle equal to 0° or not turned is called a zero angle. An angle smaller than a rightangle (less than 90°) is called an acute angle ("acute"...
meanings, often for denoting specific mathematical functions and subformulas. Angle brackets or chevrons ⟨ ⟩ were the earliest type of bracket to appear in...
internal angles, measured here in degrees. A right triangle (or right-angled triangle) has one of its interior angles measuring 90° (a rightangle). The...
theorem, ∠ D A B {\displaystyle \angle DAB} and ∠ D C B {\displaystyle \angle DCB} are both rightangles. The right-angled triangles D A B {\displaystyle...
and attachments. Angle grinders can be powered by an electric motor or compressed air. The motor drives a geared head at a right-angle on which is mounted...
these equations of motion can be derived using calculus as functions of angle (angle domain) and of time (time domain). The geometry of the system consisting...
cone. The aperture of a right circular cone is the maximum angle between two generatrix lines; if the generatrix makes an angle θ to the axis, the aperture...
quadrilateral with four rightangles. It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal (360°/4...
In geometry, a solid angle (symbol: Ω) is a measure of the amount of the field of view from some particular point that a given object covers. That is...
has four sides of equal length and four equal angles (90-degree angles, π/2 radian angles, or rightangles). It can also be defined as a rectangle with...
to solve for arbitrary angles. However, some special angles can be trisected: for example, it is trivial to trisect a rightangle. It is possible to trisect...
called circular functions, angle functions or goniometric functions) are real functions which relate an angle of a right-angled triangle to ratios of two...
two angles taken together in any manner are less than two rightangles." (Book I proposition 17) and the Pythagorean theorem "In right-angled triangles...
three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the rightangle) is equal to the...
inscribed angle is the angle formed in the interior of a circle when two chords intersect on the circle. It can also be defined as the angle subtended...
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"...
an oblique angle. Right ascension is the celestial equivalent of terrestrial longitude. Both right ascension and longitude measure an angle from a primary...
The Poem of the RightAngle (Le poème de l'angle droit) is a series of 19 paintings and corresponding writings composed by the influential Swiss-French...
γ. The figure on right shows the point C, the side b and the angle γ as the first solution, and the point C′, side b′ and the angle γ′ as the second solution...
In geometry, a hypotenuse is the side of a right triangle opposite the rightangle. It is the longest side of any such triangle. The length of the hypotenuse...