Triangle metrics from vertices API

Full triangle dossier from three 2D vertices: area (shoelace), side lengths, perimeter, centroid, interior angles, circumradius and inradius. Answers 'what is the area and the angles of this triangle?'.

Price$0.02per request

MethodPOST

Route/v1/geometry/triangle-metrics

StatusLive

MIME typeapplication/json

Rate limit120/minute

Cache0s public

triangleareacentroidcircumradiusinradiusanglesshoelace2d

API URLhttps://x402.hexl.dev/v1/geometry/triangle-metrics

Integration docs

Example request

{
  "a": [
    0,
    0
  ],
  "b": [
    4,
    0
  ],
  "c": [
    0,
    3
  ]
}

Example response

{
  "area": 6,
  "perimeter": 12,
  "sides": {
    "a": 5,
    "b": 3,
    "c": 4
  },
  "centroid": [
    1.333333333,
    1
  ],
  "anglesDeg": {
    "A": 90,
    "B": 36.869897646,
    "C": 53.130102354
  },
  "circumradius": 2.5,
  "inradius": 1
}

Input schema

{
  "type": "object",
  "required": [
    "a",
    "b",
    "c"
  ],
  "properties": {
    "a": {
      "type": "array",
      "items": {
        "type": "number"
      },
      "examples": [
        [
          0,
          0
        ]
      ]
    },
    "b": {
      "type": "array",
      "items": {
        "type": "number"
      },
      "examples": [
        [
          4,
          0
        ]
      ]
    },
    "c": {
      "type": "array",
      "items": {
        "type": "number"
      },
      "examples": [
        [
          0,
          3
        ]
      ]
    }
  }
}

Output schema

{
  "type": "object",
  "additionalProperties": true
}