Math

Free Hypotenuse Length Calculator

Find the hypotenuse of a right triangle.

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Inputs

Result

Hypotenuse

5.0000

Triangle area6.000
Angle opposite a36.87°

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Short answer

Find the hypotenuse of a right triangle.

What is the Hypotenuse Length Calculator?

Find the hypotenuse of a right triangle.

How does the Hypotenuse Length Calculator work?

Enter the inputs above and read the result.

Formula

c = √(a² + b²)

Variables

  • a,bThe two legs

Explanation

The Pythagorean theorem relates a right triangle's legs to its hypotenuse.

Examples

Applications

    Advantages

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          Tips

            Related concepts

            The Hypotenuse Length 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 Hypotenuse Length

            Find the hypotenuse of a right triangle. Within math calculators, hypotenuse length belongs to the geometry & shapes cluster, where it shares terminology and assumptions with closely related tools.

            Learning how hypotenuse length is calculated

            The Pythagorean theorem relates a right triangle's legs to its hypotenuse. Working through the variables one at a time — a,b — makes the result reproducible by hand and easier to sanity-check.

            Using hypotenuse length to make a decision

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

            How hypotenuse length 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

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