{
  "id": "pythagorean-theorem-calculator",
  "version": "2.0.0",
  "name": "Pythagorean Theorem Calculator",
  "shortName": "Pythagorean theorem",
  "description": "Provide any two sides of a right triangle to solve the third side, area, perimeter, and squared terms.",
  "category": "Math & Statistics",
  "categorySlug": "math-statistics",
  "keywords": [
    "pythagorean theorem",
    "right triangle",
    "hypotenuse",
    "missing leg",
    "a squared plus b squared"
  ],
  "status": "live",
  "workStatus": "pending",
  "reviewStatus": "pending",
  "migrationStatus": "new",
  "engine": "native",
  "creator": null,
  "reviewer": null,
  "quality": {
    "availability": "live",
    "technicalReviewRecord": "/reviews/pythagorean-theorem-calculator.json",
    "qualifiedReview": "pending",
    "qualifiedReviewer": null,
    "qualifiedReviewDate": null,
    "formulaVersion": "2.0.0",
    "referenceCoverage": "references-listed",
    "releaseTestScope": "Catalog and regression checks are not a professional formula audit; consult release evidence.",
    "historicalMetadataDate": "2026-08-25",
    "historicalMetadataNotice": "The imported date is not evidence of a completed human review."
  },
  "urls": {
    "page": "/calculator/pythagorean-theorem-calculator/",
    "definition": "/calculator/pythagorean-theorem-calculator/definition.json",
    "schema": "/calculator/pythagorean-theorem-calculator/schema.json",
    "llms": "/calculator/pythagorean-theorem-calculator/llms.txt",
    "legacyDefinition": "/calculator/pythagorean-theorem-calculator.json"
  },
  "queryExample": "https://askcalculators.com/calculator/pythagorean-theorem-calculator/?mode=hypotenuse&sideA=3&sideB=4",
  "queryParameters": {
    "mode": {
      "label": "Known sides",
      "type": "select",
      "required": true,
      "default": "hypotenuse"
    },
    "sideA": {
      "label": "First known side",
      "type": "number",
      "required": true,
      "default": 3
    },
    "sideB": {
      "label": "Second known side",
      "type": "number",
      "required": true,
      "default": 4
    }
  },
  "inputs": [
    {
      "id": "mode",
      "label": "Known sides",
      "type": "select",
      "required": true,
      "defaultValue": "hypotenuse",
      "options": [
        {
          "label": "a and b — find c",
          "value": "hypotenuse"
        },
        {
          "label": "a and c — find b",
          "value": "leg"
        },
        {
          "label": "b and c — find a",
          "value": "leg-a"
        }
      ],
      "width": "full"
    },
    {
      "id": "sideA",
      "label": "First known side",
      "type": "number",
      "required": true,
      "defaultValue": 3,
      "min": 0.000001,
      "step": 0.01,
      "width": "half"
    },
    {
      "id": "sideB",
      "label": "Second known side",
      "type": "number",
      "required": true,
      "defaultValue": 4,
      "min": 0.000001,
      "step": 0.01,
      "help": "This is the hypotenuse in either missing-leg mode.",
      "width": "half"
    }
  ],
  "outputs": [
    {
      "id": "missingSide",
      "label": "Missing side",
      "format": "number",
      "primary": true,
      "digits": 6
    },
    {
      "id": "sideAResult",
      "label": "Side a",
      "format": "number",
      "digits": 6
    },
    {
      "id": "sideBResult",
      "label": "Side b",
      "format": "number",
      "digits": 6
    },
    {
      "id": "hypotenuse",
      "label": "Side c",
      "format": "number",
      "digits": 6
    },
    {
      "id": "aSquared",
      "label": "a²",
      "format": "number",
      "digits": 6
    },
    {
      "id": "bSquared",
      "label": "b²",
      "format": "number",
      "digits": 6
    },
    {
      "id": "cSquared",
      "label": "c²",
      "format": "number",
      "digits": 6
    },
    {
      "id": "area",
      "label": "Area",
      "format": "number",
      "digits": 6
    },
    {
      "id": "perimeter",
      "label": "Perimeter",
      "format": "number",
      "digits": 6
    }
  ],
  "formula": {
    "expression": "a²+b²=c²; c=√(a²+b²), a=√(c²−b²), or b=√(c²−a²)."
  },
  "examples": [
    {
      "label": "Reproducible default-input example (not a personal recommendation)",
      "inputs": {
        "mode": "hypotenuse",
        "sideA": 3,
        "sideB": 4
      }
    }
  ],
  "sources": [
    {
      "label": "Calculator.net reference calculator",
      "url": "https://www.calculator.net/pythagorean-theorem-calculator.html"
    }
  ]
}