{
  "id": "triangle-calculator",
  "version": "2.0.0",
  "name": "Triangle Calculator",
  "shortName": "Triangle",
  "description": "Solve a general triangle from three known values, including at least one side, and calculate sides, angles, area, radii, and medians.",
  "category": "Math & Statistics",
  "categorySlug": "math-statistics",
  "keywords": [
    "triangle solver",
    "law of sines",
    "law of cosines",
    "heron formula",
    "triangle angles",
    "inradius",
    "circumradius"
  ],
  "status": "live",
  "workStatus": "pending",
  "reviewStatus": "pending",
  "migrationStatus": "migrated",
  "migratedDate": "2026-08-25",
  "engine": "native",
  "creator": null,
  "reviewer": null,
  "quality": {
    "availability": "live",
    "technicalReviewRecord": "/reviews/triangle-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/triangle-calculator/",
    "definition": "/calculator/triangle-calculator/definition.json",
    "schema": "/calculator/triangle-calculator/schema.json",
    "llms": "/calculator/triangle-calculator/llms.txt",
    "legacyDefinition": "/calculator/triangle-calculator.json"
  },
  "queryExample": "https://askcalculators.com/calculator/triangle-calculator/?sideA=3&sideB=4&sideC=5&angleUnit=degrees",
  "queryParameters": {
    "sideA": {
      "label": "Side a",
      "type": "number",
      "required": false,
      "default": 3
    },
    "angleA": {
      "label": "Angle A",
      "type": "number",
      "required": false
    },
    "sideB": {
      "label": "Side b",
      "type": "number",
      "required": false,
      "default": 4
    },
    "angleB": {
      "label": "Angle B",
      "type": "number",
      "required": false
    },
    "sideC": {
      "label": "Side c",
      "type": "number",
      "required": false,
      "default": 5
    },
    "angleC": {
      "label": "Angle C",
      "type": "number",
      "required": false
    },
    "angleUnit": {
      "label": "Angle unit",
      "type": "select",
      "required": true,
      "default": "degrees"
    }
  },
  "inputs": [
    {
      "id": "sideA",
      "label": "Side a",
      "type": "number",
      "defaultValue": 3,
      "min": 0.000001,
      "step": 0.01,
      "width": "half"
    },
    {
      "id": "angleA",
      "label": "Angle A",
      "type": "number",
      "min": 0.000001,
      "step": 0.01,
      "width": "half"
    },
    {
      "id": "sideB",
      "label": "Side b",
      "type": "number",
      "defaultValue": 4,
      "min": 0.000001,
      "step": 0.01,
      "width": "half"
    },
    {
      "id": "angleB",
      "label": "Angle B",
      "type": "number",
      "min": 0.000001,
      "step": 0.01,
      "width": "half"
    },
    {
      "id": "sideC",
      "label": "Side c",
      "type": "number",
      "defaultValue": 5,
      "min": 0.000001,
      "step": 0.01,
      "width": "half"
    },
    {
      "id": "angleC",
      "label": "Angle C",
      "type": "number",
      "min": 0.000001,
      "step": 0.01,
      "width": "half"
    },
    {
      "id": "angleUnit",
      "label": "Angle unit",
      "type": "select",
      "required": true,
      "defaultValue": "degrees",
      "options": [
        {
          "label": "Degrees",
          "value": "degrees"
        },
        {
          "label": "Radians",
          "value": "radians"
        }
      ],
      "width": "full"
    }
  ],
  "outputs": [
    {
      "id": "sideAResult",
      "label": "Side a",
      "format": "number",
      "primary": true,
      "digits": 6
    },
    {
      "id": "sideBResult",
      "label": "Side b",
      "format": "number",
      "digits": 6
    },
    {
      "id": "sideCResult",
      "label": "Side c",
      "format": "number",
      "digits": 6
    },
    {
      "id": "angleAResult",
      "label": "Angle A",
      "format": "number",
      "digits": 6,
      "suffix": "°"
    },
    {
      "id": "angleBResult",
      "label": "Angle B",
      "format": "number",
      "digits": 6,
      "suffix": "°"
    },
    {
      "id": "angleCResult",
      "label": "Angle C",
      "format": "number",
      "digits": 6,
      "suffix": "°"
    },
    {
      "id": "area",
      "label": "Area",
      "format": "number",
      "digits": 6
    },
    {
      "id": "perimeter",
      "label": "Perimeter",
      "format": "number",
      "digits": 6
    },
    {
      "id": "inradius",
      "label": "Inradius",
      "format": "number",
      "digits": 6
    },
    {
      "id": "circumradius",
      "label": "Circumradius",
      "format": "number",
      "digits": 6
    },
    {
      "id": "medianA",
      "label": "Median to side a",
      "format": "number",
      "digits": 6
    },
    {
      "id": "medianB",
      "label": "Median to side b",
      "format": "number",
      "digits": 6
    },
    {
      "id": "medianC",
      "label": "Median to side c",
      "format": "number",
      "digits": 6
    },
    {
      "id": "triangleType",
      "label": "Triangle type",
      "format": "text"
    },
    {
      "id": "solutionCount",
      "label": "Possible solutions",
      "format": "integer"
    }
  ],
  "formula": {
    "expression": "Use the law of cosines for SSS/SAS, the law of sines for ASA/AAS/SSA, and Heron’s formula K=√[s(s−a)(s−b)(s−c)]."
  },
  "examples": [
    {
      "label": "Reproducible default-input example (not a personal recommendation)",
      "inputs": {
        "sideA": 3,
        "sideB": 4,
        "sideC": 5,
        "angleUnit": "degrees"
      }
    }
  ],
  "sources": [
    {
      "label": "Calculator.net reference calculator",
      "url": "https://www.calculator.net/triangle-calculator.html"
    }
  ]
}