30-60-90 Triangle Calculator

Understanding 30-60-90 Triangles

A 30-60-90 triangle is a special right triangle with angles of 30, 60, and 90 degrees. The sides of a 30-60-90 triangle have a specific ratio: if the shortest side (opposite to the 30° angle) is 'x', then the hypotenuse is '2x', and the longer leg (opposite to the 60° angle) is 'x√3'. This calculator helps you find all sides and other properties like area, perimeter, height, inradius, and circumradius when you know just one of these properties. It's widely used in geometry, trigonometry, and various practical applications.

• Hypotenuse (c): The side opposite the right angle (90°).
• Short Leg (a): Opposite to the 30° angle.
• Long Leg (b): Opposite to the 60° angle.
• Area: The space enclosed by the triangle.
• Perimeter: The total length of all sides.
• Height: The altitude to the hypotenuse.
• Inradius: Radius of the inscribed circle.
• Circumradius: Radius of the circumscribed circle.

Use this tool to quickly and accurately calculate the properties of 30-60-90 triangles for your math, engineering, or design needs.