Pythagorean Theorem Calculator

INPUT SUMMARY

Current calculation basis

Entered values: Side a: 3 m · Side b: 4 m

Converted SI values: sideA = 3 SI · sideB = 4 SI

Engineering interpretation: Using the current inputs, calculate the hypotenuse of a right triangle from its perpendicular sides. The current result is 5 m.

ENGINEERING PRINCIPLE

For a right triangle, the square of the hypotenuse equals the sum of the squares of the two perpendicular sides.

Calculate the hypotenuse of a right triangle from its perpendicular sides.

FORMULA & VARIABLES

c = √(a² + b²)

• c = hypotenuse (m)
• a = first perpendicular side (m)
• b = second perpendicular side (m)

CALCULATION STEPS

How this result is assembled

1. Convert the entered values to the SI basis required by the formula.
2. Apply c = √(a² + b²) to the converted values.
3. Report 5 m in the selected output presentation and review the stated assumptions.

FORMULA VERIFICATION

Units, scope and reference

Reference: NIST SP 811 for unit relationships; standard classical mechanics and strength-of-materials derivations for the stated scalar relation.

Internal basis: All inputs are converted to the calculator’s SI base before the formula is evaluated.

Valid conditions: Positive finite scalar input values in the current calculator model.

Limitations: The supplied sides are perpendicular. This is plane Euclidean geometry.

ASSUMPTIONS

Use this result in context

• The supplied sides are perpendicular.
• This is plane Euclidean geometry.

Results must be verified by a qualified engineer and checked against applicable engineering standards, material properties, loading conditions and design requirements.

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