Math

Free Right Triangle Calculator

Hypotenuse and angles from the two legs.

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Inputs

Result

Hypotenuse c

5.0000

Angle A (opposite a)36.87°
Angle B (opposite b)53.13°
Area6.0000

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Short answer

Hypotenuse and angles from the two legs.

What is the Right Triangle Calculator?

Hypotenuse and angles from the two legs.

How does the Right Triangle Calculator work?

Enter the inputs above and read the result.

Formula

c = √(a² + b²); A = arctan(a/b)

Variables

    Explanation

    Pythagorean theorem plus basic trigonometry.

    Examples

    Applications

      Advantages

        Limitations

          Common mistakes

            Tips

              Related concepts

              The Right Triangle Calculator sits inside the Math Calculators hub, in the geometry & shapes cluster. Length, area, volume and angle in two and three dimensions. Understanding the terms below makes the output easier to interpret and easier to compare against neighbouring measures.

              areaperimetervolumesurface areaanglecoordinate plane

              Practical use cases and industry applications

              Understanding Right Triangle

              Hypotenuse and angles from the two legs. Within math calculators, right triangle belongs to the geometry & shapes cluster, where it shares terminology and assumptions with closely related tools.

              Learning how right triangle is calculated

              Pythagorean theorem plus basic trigonometry. Working through the variables one at a time — — makes the result reproducible by hand and easier to sanity-check.

              Using right triangle to make a decision

              Because outputs depend on the assumptions you enter, run more than one scenario before committing to a figure.

              How right triangle compares with related measures

              area, perimeter, volume, surface area all describe adjacent aspects of geometry & shapes. Comparing this calculator's output against those measures — using the related tools listed on this page — prevents a single metric from being read in isolation.

              Frequently asked questions

              Related calculators

              More geometry & shapes tools

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