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.

In a right triangle, three interior angles are formed by the intersection of the sides. An angle is a right angle and the remaining two angles are complementary angles.

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.

$\angle BCA = 90^\circ-\angle ABC$

List of most recently solved mathematics problems.

Jul 04, 2018

Limit (Calculus)

Evaluate $\displaystyle \large \lim_{x \,\to\, \tan^{-1}{3}} \normalsize {\dfrac{\tan^2{x}-2\tan{x}-3}{\tan^2{x}-4\tan{x}+3}}$

Jun 23, 2018

Limit (Calculus)

Evaluate $\displaystyle \large \lim_{x \to 0} \normalsize \dfrac{e^{x^2}-\cos{x}}{x^2}$

Jun 22, 2018

Integral Calculus

Evaluate $\displaystyle \int \dfrac{1+\cos{4x}}{\cot{x}-\tan{x}} dx$

Jun 21, 2018

Limit

Evaluate $\displaystyle \large \lim_{x \to \infty} \normalsize {\sqrt{x^2+x+1}-\sqrt{x^2+1}}$

Math Doubts is a best place to learn mathematics and from basics to advanced scientific level for students, teachers and researchers.
Know more

Learn how to solve easy to difficult mathematics problems of all topics in various methods with step by step process and also maths questions for practising.