What Is a Right Triangle?
What Is a Right Triangle?
A right triangle (or a rightangled triangle) is a triangle containing an angle of 90° (called a right angle).
Dictionary Definition
The Oxford English Dictionary defines a right triangle as "a triangle containing a right angle."
The Parts of a Right Triangle

A right triangle has one right angle (an angle of 90°). It is shown by drawing a small square.

The longest side (opposite the right angle) is called the hypotenuse.

The other two shorter sides are called legs or catheti (singular cathetus). They are perpendicular to each other.

If another angle is labelled (such as the angle labelled θ in the image below) then we can name the two shorter sides.
The side next to the angle is called the adjacent. The side opposite the angle is called the opposite.
Note: The adjacent and opposite only exist in relation to an angle. The same side can be an adjacent or an opposite depending on which angle they refer to.