Right-angle layout helper (Pythagorean theorem and diagonal check)

Calculate a theoretical diagonal from side lengths or a 3-4-5 setup, then compare measured differences with the tolerance.

The tool automatically suggests practical 3-4-5 marking lengths for field layout.

Unit locked at the top to prevent mm/in errors
Two input paths: side lengths or 3-4-5
Real-time judgement for multiple measurements

Enter conditions

Set the unit, reference method, tolerance, and measured values. The result panel updates instantly.

Review reference and judgement

Review the reference diagonal, recommended 3-4-5 markings, and each measurement’s OK/NG status on one screen.

How to use the checker

  1. Select the unit (mm/in) at the top.
  2. Choose either side-length input or 3-4-5 input, then enter values.
  3. Enter tolerance, optionally using quick chips.
  4. Enter measured diagonals and check difference + status for each row.
  5. Copy recommended 3k/4k/5k values or the judgement table when needed.

FAQ

What changes when I swap side A and side B?

Reference diagonal d stays the same, but the recommended 3-4-5 assignment—whether side A gets 3k or 4k—can change to make marking easier.

What if tolerance is empty?

Differences are still calculated, but the status is shown as “—”. Enter a tolerance to enable the OK/NG judgement.

What happens if pasted input contains text?

Only valid numeric values are imported; invalid tokens are skipped and reported.

Is a larger 3-4-5 setup better?

Generally, yes. Larger triangles are less sensitive to relative measurement error, so the tool recommends the largest practical scale.

Can I use fractions in inch mode?

Yes. Simple fractions such as 1/16 are accepted in quick chips and pasted input, then converted to decimals internally.

Notes

  • This tool performs geometric calculation and difference judgement only. It does not verify code compliance or structural safety.
  • Always measure from the same reference points (nail, mark, or corner). A shifted reference point adds error before calculation begins.
  • Measure multiple times and review the spread. If it is large, check tension, alignment, and hook contact first.