Right Triangle Calculator

Enter two supported measurements, review the solved triangle, then move to Pythagorean, general-triangle, area, or similarity tools.

Leg a

Leg b

Hypotenuse = 5Right triangle from two legs

6Area

12Perimeter

36.869898°Angle A

53.130102°Angle B

Independent triangle proof

Recalculate geometry from the visible side lengths and expose identities that make a wrong or inconsistent result easy to spot.

Geometry proof

Check	Result	Evidence

Use the tool above, then refresh this verification.

Verification uses the visible inputs and does not replace the applicable style guide or domain requirement.

Any-two-value right-triangle solver & geometry proof

The primary calculator is fast when both legs are known. This solver accepts any two independent values among the legs, hypotenuse and one acute angle, checks impossible combinations, then exposes altitude, inradius, circumradius and hypotenuse projections with a scaled diagram and reproducible calculation audit.

Leg aLeg bHypotenuse cAngle A (degrees)DecimalsUnit label

—Solved sides

—Acute angles

—Area

—Altitude to c

—Inradius / circumradius

Property	Value	Check / formula

Ready.

Enter exactly two independent known values for the clearest solve. If more values are supplied, the extra values are treated as consistency checks and conflicting measurements are rejected.

Use consistent measurements and valid geometric assumptions

Keep linear inputs in a consistent unit, verify that side lengths or coordinate points can form the stated shape, and treat sketches as explanatory unless explicitly marked to scale. Coordinate formulas can become unstable for nearly degenerate shapes, so invalid or nearly collinear inputs are rejected rather than silently returning misleading values.