A triangle which contains right angle as one of its angles is called a right triangle or right angled triangle.
The meaning of right triangle is defined by combining the meanings of right angle and triangle. A right angle represents $90$ degrees. So, if any triangle contains right angle as one of its angles, then the triangle is called a right angled triangle and simply called as right triangle in geometric mathematics.
Right triangle is a very special triangle. So, each side of this type of triangle is called by a special name.
A side which acts as a base of the triangle is called adjacent side and it is also called as base.
A side which makes a right angle with adjacent side is called opposite side.
A side that joins end points of both opposite and adjacent sides is called hypotenuse.
Three interior angles are formed geometrically in a right triangle by the intersection of three line segments. Two angles are complementary angles and the remaining angle is a right angle. Thus, this type of triangle is called as right triangle or right angled triangle.
The angle between opposite side (perpendicular) and adjacent side (base) is a right angle.
$\angle BAC$ is right angle in this right triangle. So, $\angle BAC = 90^\circ$.
The angle between adjacent side (base) and hypotenuse is called angle of right triangle. It is quite opposite to the opposite side of the triangle.
In this example, $\angle ABC$ is angle of right triangle.
There is an angle between hypotenuse and opposite side (perpendicular). It is $\angle BCA$ and also a complementary angle of angle of right triangle. So, it can be calculated by using formula of complementary angles.
$\angle BCA = 90^\circ-\angle ABC$
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