Right Triangle Hypotenuse Calculator

Calculator

Leg a

Leg b

Unit units cm m mm ft in

Decimal precision 0 1 2 3 4 5 6 7 8

Load sample Choose sample 3 and 4 5 and 12 8 and 15 7.5 and 10.2

Load Selected Sample

Calculate Hypotenuse

Reset Inputs

Example Data Table

Formula Used

Hypotenuse: c = √(a² + b²)

Area: Area = (a × b) / 2

Perimeter: P = a + b + c

Angle opposite leg a: A = sin⁻¹(a / c)

Angle opposite leg b: B = sin⁻¹(b / c)

Altitude to hypotenuse: h = (a × b) / c

Inradius: r = (a + b - c) / 2

Circumradius: R = c / 2

This calculator uses the Pythagorean theorem as the main relation. Once the hypotenuse is known, related geometric values follow from standard right triangle identities.

How to Use This Calculator

1. Enter the two perpendicular legs of the right triangle.
2. Choose the measurement unit you want displayed.
3. Select the decimal precision for the final results.
4. Optionally load a sample dataset for quick testing.
5. Press the calculate button.
6. Read the result block shown above the form.
7. Review the worked steps and plotted triangle graph.
8. Download the result as CSV or PDF if needed.

FAQs

1. What does this calculator solve?

It finds the hypotenuse from two known legs. It also reports area, perimeter, acute angles, altitude to the hypotenuse, inradius, circumradius, and median to the hypotenuse.

2. Which formula is used for the hypotenuse?

The core formula is the Pythagorean theorem. For legs a and b, the hypotenuse c equals the square root of a squared plus b squared.

3. Can I use decimal values?

Yes. The inputs accept whole numbers and decimals. This helps when measurements come from construction plans, lab work, field notes, or classroom examples.

4. Why are the results shown above the form?

That layout makes the output visible immediately after submission. You can review the answer, graph, and download tools without scrolling past the form again.

5. What units can I use?

You can choose generic units, centimeters, meters, millimeters, feet, or inches. The calculator applies the selected unit to all length outputs and squared units to area.

6. What does the plotted graph show?

The graph draws the right triangle using your entered leg lengths. It helps you visually confirm the geometry and compare the sides against the computed hypotenuse.

7. What do the CSV and PDF buttons export?

They export the calculated metrics shown in the result table. This is useful for homework records, quick reports, documentation, or sharing computed values with others.

8. Can this calculator solve triangles without a right angle?

No. This page is specifically for right triangles. For other triangles, you would need different formulas such as the cosine rule or sine rule.