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Pythagoras²Equation Solver
Navigationa² + b² = c²
फ्रेमिंग और लेआउट उपकरण3² + 4² = 5²

बढ़ईगीरी 3-4-5 नियम और समकोण कैलकुलेटर

Verify true 90° framing layouts for decks, sheds, tile grids, and wall plates with tape-measure fractional inches (1/16") or metric millimeters. Need to solve abstract right triangles, angles, or exact surds? Use our main Pythagoras equation solver.

1/16" Tape Measure FractionsLive Deviation Check (±1/16" / ±1.5 mm)3-4-5 Multiplier Table
Result updated: Theoretical square diagonal is 60 in, or 5' 0". Corner is square within trade tolerance.

बढ़ईगीरी 3-4-5 नियम और समकोण कैलकुलेटर

3² + 4² = 5² · Tolerance: ±1/16 in

Enter framing side lengths A and B plus optional measured diagonal to check corner squareness.
सटीक समकोण विकर्ण
60 in
Fractional: 5' 0" (to 1/16")
समकोण सही है
Error: +0 in (0")Tolerance: ±1/16 in
A = 36 inB = 48 ind = 60 in✓ SQUARE (90°)

बिल्डरों के लिए मानक 3-4-5 गुणज तालिका

ScaleRun (A)Rise (B)Diagonal (d)
1×3 in4 in5 in
2×6 in8 in10 in
3×9 in12 in15 in
4×12 in16 in20 in
5×15 in20 in25 in

बिल्डरों के लिए मानक 3-4-5 गुणज तालिका

Scale (k×)लंबाई / भुजा A (3k)चौड़ाई / भुजा B (4k)Diagonal (5k)Typical Trade Use
1×3 ft / m4 ft / m5 ft / mCabinets, tile corners, small frames
2×6 ft / m8 ft / m10 ft / mInterior wall plates & doorway framing
3×9 ft / m12 ft / m15 ft / mMedium decks, patios, concrete forms
4×12 ft / m16 ft / m20 ft / mFull deck bays, garages & outbuildings
5×15 ft / m20 ft / m25 ft / mLarge foundations & timber pole barns

Step-by-Step Framing Verification Guide

Why 3-4-5 Always Works

Any integer triple obeying a² + b² = c² locks the angle opposite c at an exact 90.00° by the converse of the Pythagorean theorem. Because 3² + 4² = 9 + 16 = 25 = 5², scaling by any constant factor guarantees squareness regardless of units.

Rectangle Corner-to-Corner Rule

When checking an entire four-sided deck frame or stud wall, compute the full diagonal from your real dimensions above. Measure both opposite corner-to-corner diagonals—even if opposite sides match, a parallelogram only becomes a rectangle when both diagonals equal √(a² + b²).