Right Triangle Calculator
Calculate all properties of a right triangle including sides, angles, area, perimeter, inradius, and circumradius with step-by-step solutions.
Please provide 2 values below to calculate the other values of a right triangle. If radians are selected as the angle unit, it can take values such as pi/3, pi/4, etc.
Triangle Inputs
Sides
Angles and Altitude
Area and Perimeter
Detailed Triangle
Right triangle with sides a, b, c, angles α, β, and height h to hypotenuse
About Right Triangles
A right triangle is a triangle with one angle equal to 90°. The side opposite the right angle is called the hypotenuse (c), and the other two sides are called legs (a and b).
Key Properties:
- • c² = a² + b² (Pythagorean theorem)
- • α + β = 90°
- • Area = (a × b) / 2
- • Height to hypotenuse = (a × b) / c
- • Inradius = Area / Semi-perimeter
- • Circumradius = c / 2
Angle Input Support:
- • Degrees: 30, 45, 60, etc.
- • Radians: pi/6, pi/4, pi/3, etc.
- • Pi expressions: pi, 2*pi, etc.
- • Decimal values: 0.785, 1.047, etc.