Right Triangle Calculator

Solve a right triangle for missing sides, angles, area, and perimeter from any two known measurements.

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How to use

Enter any two known values — two sides, or one side and one acute angle — and the calculator will solve for the remaining sides, angles, area, and perimeter.

Enter at least two values Provide any two known sides or one side and one acute angle to solve the right triangle.

Also in General

Geometry

Solve a right triangle from two known measurements

The right triangle calculator finds all missing sides, acute angles, area, and perimeter from any two known values — two sides, or one side and one angle.

How the solver works

Given two sides, the third is found via the Pythagorean theorem (a squared + b squared = c squared). Angles are found using inverse trigonometric functions.

Given one side and one acute angle, the other angle is 90 minus the given angle. The remaining sides are found using sine, cosine, or tangent ratios.

Limitations

The calculator assumes a valid right triangle. If inputs are inconsistent (e.g. a leg longer than the hypotenuse), an error is shown.

Frequently asked questions

How many values do I need to solve a right triangle?

Two measurements: either two sides, or one side and one acute angle. The right angle is already known.

What is the hypotenuse?

The longest side of a right triangle, opposite the 90-degree angle. It equals the square root of the sum of the squares of the two legs.

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