Right Triangle Calculator

Calculate all properties of a right triangle with just two known values

Key Formulas:

Pythagorean Theorem: a² + b² = c²
Area: A = (a × b) / 2
Perimeter: P = a + b + c
Angle α: α = arctan(a/b)
Angle β: β = 90° - α

Select Calculation Method:

Side a (height)

units

Side b (base)

units

About the Right Triangle Calculator

Our right triangle calculator is an advanced online tool that helps you quickly calculate all properties of a right triangle when you know any two values. Whether you're a student learning geometry, a professional working on construction projects, or a DIY enthusiast, this tool provides accurate results instantly.

What is a Right Triangle?

A right triangle (or right-angled triangle) is a triangle in which one angle is exactly 90 degrees. The side opposite the right angle is called the hypotenuse, and the other two sides are called legs (or catheti). Right triangles are fundamental in geometry and have many practical applications in fields like architecture, engineering, and physics.

Features of Our Calculator:

Calculate all sides, angles, area, and perimeter from any two known values
Multiple calculation methods (two legs, leg and hypotenuse, leg and angle, etc.)
Accurate results with decimal precision
Clean, intuitive interface that works on all devices
Educational diagrams and formulas to help understand the calculations

Common Uses of Right Triangle Calculations:

Construction & Carpentry

Calculating roof pitches, stair angles, and ensuring square corners in building projects.

Navigation & Surveying

Determining distances and angles in land surveying and maritime navigation.

Physics & Engineering

Analyzing forces, vectors, and mechanical advantage in various systems.

DIY & Home Projects

Planning furniture placement, garden layouts, and home improvement projects.