# Right Triangle Calculator

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Lets first understand, what is a right triangle and how we can find different properties of a right triangle?

Right triangle

A right triangle or right-angled triangle is a triangle in which one angle is a right angle (i.e., 90° angle).

The side opposite the right angle is called the hypotenuse of the right triangle. The sides adjacent to the right angle are called legs of the right triangle.

If the lengths of all three sides of a right triangle are integers, the triangle is said to be a Pythagorean triangle and its side lengths are collectively known as a Pythagorean triplet.

Formulas

Let the base length of the Right Triangle be \(b\) units,

and the height of the Right Triangle be \(h\) units.

Hypotenuse of the Right Triangle will be \((\sqrt{b^2+h^2})\) units.

Perimeter of the Right Triangle will be \((b+h+\sqrt{b^2+h^2})\) units.

Area of the Right Triangle will be \(\dfrac{1}{2}bh\) square units.

Inradius of the Right Triangle will be \(\left(\dfrac{bh}{b+h+\sqrt{b^2+h^2}}\right)\) units.

Circum-radius of the Right Triangle will be \(\left(\dfrac{\sqrt{b^2+h^2}}{2}\right)\) units.

For calculating different properties of the Right triangle using above Right triangle calculator, you have to just write the values in the given input boxes and press the calculate button, you will get the result.