Math Calculators

Right Triangle Calculator

Use this right triangle calculator to calculate a geometry relationship for right triangle.

Primary answer
Hypotenuse
Inputs to verify
Leg A and Leg B
Use type
Use as a direct calculation check.
Keyword intent
right triangle calculator

Calculator

Right Triangle Calculator

Calculates hypotenuse from leg a, leg b. Defaults are filled in so you can review a working example before changing inputs.

units

Enter one positive perpendicular leg.

units

Enter the other positive perpendicular leg in the same unit.

Result

Result reflects the current submitted inputs.

  • Risk A
  • Reviewed 2026-05-26
  • 2 sources
Hypotenuse5 units
Area6 square units
Perimeter12 units
Angle opposite leg A36.869898 degrees
Angle opposite leg B53.130102 degrees
  • Leg A and Leg B are perpendicular.
  • Both legs use the same linear unit.
  • Angles are returned in degrees.
  • Intermediate values are not rounded.

Accuracy notes

Risk level
A
Reviewed
2026-05-26
Sources
2
Primary result
Hypotenuse

Formula logic is kept in a pure calculator module with fixtures, source notes, and page-visible assumptions.

What the result means

Use Hypotenuse as the headline answer for right triangle. The side opposite the right angle. Read the main measurement first, then verify whether secondary outputs use the same unit basis. Use area, perimeter, and angle opposite leg A to explain why hypotenuse moved when an input changed. Write the unit beside the result so area, volume, and linear measurements are not confused. Check unit consistency, diameter versus radius, squared or cubed units, and rounding precision before treating the result as final.

HypotenuseThe side opposite the right angle.
AreaHalf the product of the two perpendicular legs.
PerimeterThe sum of both legs and the hypotenuse.
Angle opposite leg AThe acute angle opposite leg A.

Use the result this way

  1. Start with Hypotenuse, then use supporting outputs only to explain the primary answer.
  2. Verify leg A and leg B before copying the result.
  3. Keep units consistent with the labels shown in the form and stay within the documented minimum and maximum ranges.
  4. Write the unit beside the result so area, volume, and linear measurements are not confused.

User job

How to use this calculator

Use Right Triangle Calculator when you need hypotenuse, then use area and perimeter to check the context for quick number work, classwork, spreadsheet checks, and explaining a calculation to someone else.

Best for

  • Checking the core numeric relationship
  • Comparing the main result with supporting outputs
  • Reviewing a default example before entering your own leg a and leg b.

Check before relying

  • Confirm sign, decimal, percent, and rounding assumptions before copying the number.
  • Leg A and Leg B are perpendicular.
  • Both legs use the same linear unit.
  • Source context: Wikipedia, reviewed 2026-05-26.

Next useful step

Formula

hypotenuse = sqrt(legA^2 + legB^2); area = legA x legB / 2; perimeter = legA + legB + hypotenuse. Key assumptions: Leg A and Leg B are perpendicular. Both legs use the same linear unit. Angles are returned in degrees.

  • hypotenuse = sqrt(legA^2 + legB^2); area = legA x legB / 2; perimeter = legA + legB + hypotenuse.
  • Leg A and Leg B are perpendicular.
  • Both legs use the same linear unit.
  • Primary source context: Wikipedia.

Inputs

Enter leg A and leg B for number checks, homework, spreadsheet review, and quick comparisons. Before calculating, keep units consistent with the labels shown in the form and stay within the documented minimum and maximum ranges. Leg A: Enter one positive perpendicular leg. Leg B: Enter the other positive perpendicular leg in the same unit.

Leg AEnter one positive perpendicular leg.
Leg BEnter the other positive perpendicular leg in the same unit.

Example

Using the default inputs, Right Triangle Calculator returns hypotenuse of 5 units. Adjust leg A and leg B to match your own scenario.

FAQ

How is hypotenuse calculated here?

hypotenuse = sqrt(legA^2 + legB^2); area = legA x legB / 2; perimeter = legA + legB + hypotenuse. The first assumption to check is: Leg A and Leg B are perpendicular.

What does Hypotenuse mean for right triangle?

Read the main measurement first, then verify whether secondary outputs use the same unit basis. Secondary values such as area, perimeter, and angle opposite leg A are there to explain the primary answer, not to replace it.

What should I enter for Leg A?

Enter one positive perpendicular leg. Use units for this field. Keep units consistent with the labels shown in the form and stay within the documented minimum and maximum ranges.

How does Leg B change hypotenuse?

Enter the other positive perpendicular leg in the same unit. Changing it can alter hypotenuse because the formula uses the submitted inputs together. Also compare unit consistency, diameter versus radius, squared or cubed units, and rounding precision.

Why does the right triangle example show 5 units for hypotenuse?

The default inputs produce 5 units for hypotenuse. Treat that as a format and scale check, then replace every default value with your own inputs.

Why does rounding matter for hypotenuse?

Rounding affects the displayed answer and can compound if you reuse the number. Keep more precision for intermediate work when the next step depends on it.

Sources

Last reviewed: 2026-05-26

  • Reviewed 2026-05-26
    Pythagorean theoremWikipedia. Hypotenuse formula for right triangles.
    Scope
    General geometry reference for the relationship between right-triangle legs and hypotenuse.
    Supports
    Hypotenuse formula for right triangles.
  • Reviewed 2026-05-26
    Trigonometric functionsWikipedia. Acute angle formulas using arctangent ratios.
    Scope
    General mathematics reference for tangent and inverse tangent relationships in right triangles.
    Supports
    Acute angle formulas using arctangent ratios.