Right Triangle Definition

noun
  • geometry
    a triangle in which one of the angles is a right angle (90 degrees).
All terms

Explanation

A right triangle is a triangle in which one of the angles is a right angle, measuring exactly degrees. This triangle is one of the most basic shapes in geometry and is fundamental in the study of trigonometry.

Right Triangle width adjace, opposite and hypotenuse sides labeled.

The sides of a right triangle are labeled relative to one of the angles other than the right angle. The side closest to this angle is referred to as the adjacent side, the side opposite the angle is referred to as the opposite side, and the hypotenuse is the side connecting the two.

Right triangles are essential in trigonometry because the ratio of the lengths of their sides defines the trigonometric functions sine, cosine, and tangent.

Related Terms

Angle

An angle is a measure of rotation or turning and is usually measured in degrees or radians. In geometry, an angle is the figure formed by two rays, sharing a common endpoint called the vertex.

Links

Sine

The sine function returns the sine of a number provided in radians. In geometric terms, the function returns the vertical component of the point formed by the angle on the unit circle.

Cosine

The cosine function returns the cosine of an angle provided in radians. In geometric terms, the function returns the ratio of the right triangle's adjacent side over its hypotenuse.

Tangent

The tangent function returns the tangent ratio of the input angle. In geometric terms, the function returns the length of the line tangent to the point on the unit circle.