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Right Triangle Calculator

Free online tool that helps you calculate the different properties of a right triangle.


What is right triangle?

A right triangle is a triangle that has one of its angles measuring 90 degrees (a right angle). The side opposite the right angle is called the hypotenuse, and the other two sides are called the legs.

Right triangles are used in many areas of mathematics, science, and engineering. For example, in geometry, the trigonometric functions (such as sine, cosine, and tangent) are defined based on the ratios of the sides of a right triangle. In physics, right triangles are used to calculate forces and velocities in two-dimensional motion problems.

What is Pythagorean Theorem?

The Pythagorean Theorem is a fundamental theorem in mathematics that describes the relationship between the sides of a right-angled triangle. It states that the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides (the legs).

In mathematical terms, the Pythagorean Theorem can be expressed as:

a² + b² = c²

where "a" and "b" are the lengths of the two legs of the right triangle, and "c" is the length of the hypotenuse.

This theorem is named after the ancient Greek mathematician Pythagoras, who is credited with its discovery, although the theorem was known by the Babylonians and Indians long before Pythagoras. The Pythagorean Theorem is widely used in various fields, including geometry, trigonometry, and physics, and has numerous practical applications.