# Right Triangle Calculator and Solver

Five easy to use calculators to solve right triangle problems depending on which information you are given. The figure shown below will be used for sides and angle notations.

In the above right triangle the sides that make and angle of 90° are **a** and **b**, and **h** is the hypotenuse.

These calculators may be used to check your answers to questions that you have solved analytically.

## Formulas Used in the Different Calculators

The Pythagorean theorem used in the above triangle gives

a^{2} + b^{2} = h^{2}

a = √ (h^{2} - b^{2})

b = √ (h^{2} - a^{2})

The trigonometric ratios used to find angles A and B are given by
sin(A) = a / h , A = arctan(a / h)

sin(B) = b / h , B = arctan(b / h)

The area and perimeter of the right triangle are given by
Area = (1/2) a b

Perimeter = a + b + h

## Calculator 1 - You know one side and the hypotenuse

__How to use the calculators__

Enter the side and the hypotenuse as positive real numbers and press "calculate".

## Calculator 2 - You know the two sides of the right triangle

__How to use the calculators__

Enter the two sides as positive real numbers and press "calculate".

## Calculator 3 - You know one side and the angle opposite to it

__How to use the calculators__

Enter the side and the opposite angle as positive real numbers and press "calculate".

## Calculator 4 - You know the hypotenuse and one angle

__How to use the calculators__

Enter the hypotenuse and the angle as positive real numbers and press "calculate".

## Calculator 5 - You know the perimeter and area of a right triangle

__How to use the calculators__

You might have to review area and perimeter of right triangles in order to understand the formulas used in this calculator.

Enter the perimeter and the area as positive real numbers and press "calculate".

## More References and Links

Solve Right Triangle Problems

area and perimeter of right triangles

Online Geometry Calculators and Solvers.