45 45 90 Triangle

45 45 90 Triangle

The right triangle defined by the three angles: , and is a special triangle that has meaningful properties in mathematics.

General Form

The general form of the triangle, shown below, is given in terms of , where the adjacent and opposite sides are of length .

45 45 90 Degree Triangle

Radians System

The same triangle can also be measured in radians, where radians is equal to a full rotation.

Tau 8 Triangle

Good Links

Right Triangle | Concept

A right triangle is a triangle where one of the three angles is a perpendicular angle. There are three sides of the right triangle: the adjacent, opposite, and hypotenuse sides.

Special Triangle | Concept

There are two special right triangles in geometry defined by their three angles the 45 45 90 degrees and the 30 60 90 degrees.

Degrees | Concept

Degrees is a unit of measure for angles. A full rotation is equal to 360 degrees. In the cartesian coordinate system, degrees are measured starting from the rightmost edge of the circle.

Radians | Concept

Radians are a unit that measure angle using the radius of a circle. One radian is equal to the amount of rotation required to travel the length of one radius along the circumference of the circle.