Measurements & Conversions

Court Diagonal and Squaring Triangle Calculator

The diagonals of a sports court: what the corner-to-corner tape should read, how far apart the two may be, and the scaled 3-4-5 triangle to set it out.

  • Answers as you type
  • Every formula cited
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SettingsSettings for this calculationUS
Market
Imperial · sales tax
The long dimension of the rectangle being set out.

Use the dimension the governing rulebook publishes for the level of play, measured to the outside of the line unless that rulebook says otherwise. Where a hall carries more than one sport, set out the dominant court first and hang the others off its control line rather than off each other.

The short dimension of the same rectangle.

Walk the run-offs before you commit to it. A hall that measures fine on paper can still leave you short behind a baseline once retractable seating, a door swing and wall padding are in, and shifting the whole rectangle along its long axis at setting-out stage costs ten minutes rather than a re-coated bay.

How far the 3-4-5 right-angle triangle is scaled up before it is struck.

The three numbers are read in whichever unit you are working in — the toggle above decides whether the legs come back in metres or in feet, and the ratio makes the right angle either way. Scale matters more than tooling: an error at the mark magnifies all the way down the sideline, so a triangle struck at three units is worthless over a court of thirty, and the right angle is best set at the court centre so any residual error is shared between the two halves.

How far one corner may sit off its true position along the long axis.

This is not the rulebook's dimensional tolerance; it is the skew you are willing to accept, which should be tighter. A rectangle whose sides are all within tolerance can still read as visibly crooked, because what the eye picks up is the difference between the diagonals rather than the absolute length of either.

Expected diagonal

104.2 ft

High confidence

Equal diagonals prove the figure is a rectangle, and only then do the side dimensions mean anything. Hold the two within the difference shown rather than within the rulebook's dimensional tolerance.

Diagonal difference at the permitted offset
0.35 in
Short leg of the squaring triangle
12 ft
Long leg of the squaring triangle
16 ft
Hypotenuse of the squaring triangle
20 ft
Perimeter of the rectangle
282 ft
Then change the inputs to see how far the answer moves.

Show calculation logic

How this was calculated

Formula source(s)

  • The diagonal of a rectangle is the square root of length squared plus width squared. Where one end is displaced by an offset, the two diagonals become the roots of (length + offset)² + width² and (length − offset)² + width², and their difference is what a tape reads as out of square.
  • ITF Rules of Tennis — court dimensions, which publish the corner-to-corner diagonal alongside the sides as a check dimension for exactly this reason
  • FIBA Official Basketball Rules, court dimensions (28 m by 15 m for a full-size court); FIVB Official Volleyball Rules (18 m by 9 m); BWF Laws of Badminton (13.4 m by 6.1 m for doubles)
  • The squaring triangle is a scaled 3-4-5, whose numbers are read in whatever unit the crew is working in — the ratio is what makes the angle, not the unit.

Inputs used

Court Length
92 ft
Court Width
49 ft
Squaring Triangle
12-16-20 — full-size courts
Permitted Corner Offset
0.2 in

Intermediate steps

Diagonal difference at the permitted offset
0.35 in
Short leg of the squaring triangle
12 ft
Long leg of the squaring triangle
16 ft
Hypotenuse of the squaring triangle
20 ft
Perimeter of the rectangle
282 ft
Final result104.24 ft

Confidence note: Equal diagonals prove the figure is a rectangle, and only then do the side dimensions mean anything. Hold the two within the difference shown rather than within the rulebook's dimensional tolerance.

What this calculation does not cover

  • A tape reading is a temperature reading as well. Use one tape at one tension for both diagonals, and note the surface temperature outdoors.
  • This proves the rectangle. Arcs, keys and circles are struck from points established off it and carry their own checks.
92 ft49 ft
Schematic, drawn to the proportions you entered — not to scale on screen.

Part of a bigger job

This trade is one line of a job takeoff. Run the whole job and every other trade comes back with it, off the same measurements.

Computed in your browser — nothing you enter is uploaded. Presented in US customary units and US trade terminology. Where a formula follows a published standard, that standard and its edition are cited beside it on this page; where none governs, the page says so. Local amendments override model codes — verify against the code in force where you build.

Sources checked 2026-08-30 · in the site-wide review of 2026-09-06 · v1.0.0

Regulatory standards & verification citations4
  1. The diagonal of a rectangle is the square root of length squared plus width squared. Where one end is displaced by an offset, the two diagonals become the roots of (length + offset)² + width² and (length − offset)² + width², and their difference is what a tape reads as out of square.
  2. ITF Rules of Tennis — court dimensions, which publish the corner-to-corner diagonal alongside the sides as a check dimension for exactly this reason
  3. FIBA Official Basketball Rules, court dimensions (28 m by 15 m for a full-size court); FIVB Official Volleyball Rules (18 m by 9 m); BWF Laws of Badminton (13.4 m by 6.1 m for doubles)
  4. The squaring triangle is a scaled 3-4-5, whose numbers are read in whatever unit the crew is working in — the ratio is what makes the angle, not the unit.
Cite this page

Your workspace

Most jobs need more than one number. Add the calculators you need next and they open right here, underneath this one — your figures stay on screen and nothing is lost to a page change.

Tools and safety for this job

To set out and check dimensions. Generic types, no brands, no prices.

Show the 4 tools this job needs

Essential

  • String line and pins

  • Tape measure

Recommended

  • Chalk line

Optional

  • Laser level

Also needed as materials: chalk refill.

what each site-management tool is for, and the spec that decides which to buy where one does.

Now that you have the number

These guides cover the work this quantity is for — the first ones run this calculator inside the section that raises the question.

Called something else where you work? Tolerance and permitted deviation — the term in each market, how close the equivalence really is, and the standard that governs it.

How to calculate court diagonal and squaring triangle in 5 steps

  1. Court LengthThe long dimension of the rectangle being set out.
  2. Court WidthThe short dimension of the same rectangle.
  3. Squaring TriangleHow far the 3-4-5 right-angle triangle is scaled up before it is struck.
  4. Permitted Corner OffsetHow far one corner may sit off its true position along the long axis.
  5. Expected diagonalThe tool computes the expected diagonal from those figures and shows the formula, its sources, and a confidence rating alongside it.

Expected diagonal by court length

Page defaults, not your figures above.

Court LengthExpected diagonal (ft)
40 ft63.4
60 ft77.6
80 ft93.9
100 ft111
120 ft130
140 ft148
160 ft167

Frequently asked questions

Why do the diagonals matter more than the sides?
Because four correct side lengths do not make a rectangle. A parallelogram has the same four sides as the rectangle it was meant to be, and the only thing that separates them is that its diagonals are unequal. Measure both diagonals first; until they agree, the side dimensions are describing a shape you did not intend to mark.
Why does a small corner offset show up as a bigger diagonal difference?
Because the two diagonals move in opposite directions. Shift one end along the long axis and one diagonal lengthens while the other shortens, so the difference between them is close to twice the offset multiplied by the ratio of length to diagonal. On a full-size court a five millimetre skew reads as nearly nine millimetres across the tape, which is what makes the check sensitive enough to be worth doing.
Are the squaring triangle's numbers metres or feet?
Whichever unit you are working in — that is the point of a ratio. Three, four and five in any consistent unit make a right angle, so a metric crew strikes 12-16-20 in metres and an imperial crew strikes the same numbers in feet. The legs shown here follow the unit toggle so you are not converting anything at the tape.
Where should the right angle be set?
At the court centre rather than at a corner. Setting out from a corner pushes all the accumulated angular error to the far end of the court, where there is no room left to absorb it; working from the centre halves the lever arm and shares whatever error remains between the two halves, which is also where a spectator is least able to see it.
Is this the page for squaring a building or a slab?
No: for a slab, a foundation, a deck or a frame, use the Squaring Calculator for Layout and Setting Out, which works back from the diagonals you measure to the corner's angle and how far to move it; this page sets out sports courts.
Preliminary estimate, not certified engineering. This tool produces an indicative quantity calculation for planning purposes only — it is not a certified structural analysis, a guaranteed material takeoff, or a substitute for building department approval. Always verify measurements on-site and have a licensed contractor or structural engineer review any load-bearing, code-sensitive, or safety-critical work before purchasing materials or starting construction. Spotted an arithmetic or standards error? Report it to contact@craftquantities.com with your inputs — a confirmed fix gets a permanent check of its own, so the same mistake cannot come back.