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Home / Glossary

Diagonal clearance

The largest straight-line distance an object can occupy while passing through an opening when tilted corner-to-corner, equal to the square root of the opening width squared plus height squared.

Trusted across thousands of fit checks · updated daily
400 questions answered

Definition

What it means.

Diagonal clearance
When a flat or boxy item is too tall to slide through a doorway upright, tilting it lets a longer dimension pass along the opening’s diagonal rather than its width. The diagonal clearance is the geometric ceiling on how long that tilted item can be, it is the hypotenuse of the opening rectangle. ItemFits computes it whenever an upright pass fails, to decide whether a tilt rescues the fit.
Diagonal clearance (32×80 in door)
86 in

In depth

The fuller picture.

Trading height for reach

When an item is too tall to slide through a doorway standing up, tilting it lets a longer dimension travel along the opening on the diagonal instead of fighting the width. The diagonal clearance is the geometric ceiling on that move: it is the hypotenuse of the opening rectangle, the straight line from one corner to the opposite corner. A 32 inch wide by 80 inch tall doorway has a diagonal of about 86 inches, which is why an 84 inch sofa that fails upright can still pass when it is leaned.

The diagonal is an upper bound, not a promise. It assumes a thin item, so a piece with real depth uses up part of that diagonal and clears less than the raw hypotenuse suggests. ItemFits computes the diagonal whenever an upright pass fails and then accounts for the item depth, rather than treating the corner-to-corner distance as the whole answer.

Measure it

How to measure.

  1. Measure the clear opening width and the clear opening height of the doorway.
  2. Square each, add them, and take the square root to get the corner-to-corner diagonal.
  3. Compare that diagonal to the item length, remembering the item depth eats into the usable figure.

In practice

How it shows up.

A 32-in-wide × 80-in-tall doorway has a diagonal clearance of about 86 in, which is why an 84-in sofa often passes only when tilted.

How it is computed

The math behind it.

√(w² + h²)

√(32² + 80²) ≈ 86 in for a 32″×80″ door.

Go deeper

Related terms and tools.

Related terms

Other defined quantities in the same fit vocabulary.

  • clear opening widthDefined term.
  • tilt angleDefined term.

Run a fit check

Put the definition to work on your exact item.

  • Door fit calculatorCheck the exact fit.

Reference tables

The size data behind the calculators.

  • Door sizes by countryReference data.

Frequently asked

Questions we keep getting.

  • Is diagonal clearance the same as the door’s diagonal?

    Yes, it is the straight-line distance across the opening corner to corner.

    01
  • Why can an item longer than the door still pass?

    Because tilting it lets the length ride the opening on the diagonal, which is longer than either the width or the height alone.

    02
  • Does item depth change the diagonal clearance?

    The diagonal of the opening is fixed, but a deeper item consumes more of it, so the usable diagonal for a real piece is less than the bare hypotenuse.

    03

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