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Formula verified · Deterministic calculation

Right Triangle Calculator

Enter both perpendicular side lengths to calculate area, perimeter, hypotenuse and acute-angle relationships.

Area6
Perimeter
12
Angle A
36.86989764584402°
Angle B
53.13010235415598°
Angle C
90°
Methodology

Pythagorean theorem and deterministic right-triangle identities.

Sources
  • CalcuMint deterministic geometry engine
Solution steps
  1. c = √(a²+b²) = 5
  2. Area = ab/2 = 6
  3. Acute angles = 36.86989764584402°, 53.13010235415598°

How this calculator works

The Pythagorean theorem determines the hypotenuse; standard right-triangle identities determine area and angles.

Formula

c=√(a²+b²), K=ab/2

Solves a right triangle from its perpendicular legs.

Worked example

3-4 right triangle is a verified test case used by the calculation engine.

Assumptions and limitations

  • The supplied sides are the perpendicular legs.
  • Both lengths must be positive.

Methodology & sources

This calculator uses deterministic, versioned calculation logic. The formula and verified examples above are part of the calculation definition used by CalcuMint. Technical calculation version: 1.

  • CalcuMint deterministic geometry engine

Frequently asked questions

Is the right angle assumed?

Yes. The two entered sides are treated as perpendicular legs.

Which theorem gives the hypotenuse?

The Pythagorean theorem is used for the hypotenuse.

Related calculators

Hypotenuse CalculatorFind the hypotenuse of a right triangle from its two perpendicular sides.Triangle CalculatorSolve a triangle from three side lengths with area, perimeter and angles.Pythagorean Theorem CalculatorSolve the Pythagorean theorem for the hypotenuse of a right triangle.