How to use this calculator
- Identify the measurements labelled Leg a, Leg b. Check whether the figure satisfies the assumptions described below.
- Enter positive measurements in a common unit. Use the degree symbol convention for angles. Ratios such as eccentricity have no unit.
- Select Calculate. Inspect the result labels: lengths, areas and volumes have different dimensions. Copy the output or print the page if you need a record.
The formula
c = √(a²+b²); A = ab/2
Leg a = 3; Leg b = 4
Worked example
For Leg a = 3 cm, Leg b = 4 cm, applying the displayed relationship gives hypotenuse ≈ 5 cm. The remaining related measurements appear in the result panel. The example uses ideal dimensions and rounds only for display.
Model and limitations
The Pythagorean relationship c² = a² + b² links its three sides. The two acute angles are complementary. Its area is half the product of the legs because those legs are perpendicular.
The hypotenuse must exceed either leg. Acute-angle calculators require an angle strictly between 0 and 90 degrees. Inputs are limited to 10⁹ for lengths, 10¹⁸ for areas and 10²⁷ for volumes. Extremely thin or nearly degenerate figures may lose numerical accuracy; avoid treating displayed rounding as a measurement tolerance.