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Pythagorean theorem calculator

Open Pythagorean theorem calculator on Happytails.ai. This view has the same page content and links, with explicit tool capabilities. Read the processing notes before using a tool.

Tool capabilities

{
  "id": "pythagorean-theorem",
  "category": "calculators",
  "built": true,
  "requirements": "The formula a² + b² = c² applies only to right triangles. Every side must be positive. In missing-leg mode, the hypotenuse must be longer than the known leg.",
  "implementation": {
    "fields": [
      {
        "key": "find",
        "label": "Find",
        "value": "Hypotenuse",
        "type": "select",
        "values": [
          "Hypotenuse",
          "Missing leg"
        ]
      },
      {
        "key": "a",
        "label": "Known leg a",
        "value": 3,
        "type": "number",
        "min": 0,
        "max": 1e+100,
        "step": "any"
      },
      {
        "key": "b",
        "label": "Other leg or hypotenuse",
        "value": 4,
        "type": "number",
        "min": 0,
        "max": 1e+100,
        "step": "any"
      }
    ],
    "input": false,
    "live": true,
    "presentation": "metrics",
    "note": "For right triangles only: a² + b² = c². In Missing leg mode, the second value is the hypotenuse and must exceed the known leg. Use the same unit for both lengths.",
    "experience": {
      "automatic": true,
      "single": false,
      "inputMaxLength": 1000000,
      "inputMode": "text",
      "label": "Your text",
      "placeholder": "Type or paste your input…",
      "help": "Change the input or settings to update your result. Results update as you type. Up to 1,000,000 characters.",
      "helpParts": [
        "Change the input or settings to update your result.",
        "Results update as you type.",
        "Up to 1,000,000 characters."
      ],
      "action": null
    },
    "mode": "automatic",
    "interactive": false
  },
  "execution": "Browser interface",
  "api": null,
  "browser_agent": {
    "supported": true,
    "name": "run_current_tool",
    "discovery": "WebMCP on the human page in a supporting browser",
    "verification": "See audit/API-AUDIT.md; availability is not verification"
  }
}

Page guide

Find a missing side of a right triangle.

How to use Pythagorean theorem calculator
  1. Enter the values you want to calculate and choose the relevant units or settings.
  2. The result updates as you type. Adjust the available settings if needed.
  3. Review the result, then use Copy result or a download link when available.

Useful next steps

Distance formula calculatorSlope calculatorScientific calculator

How to use it

Choose Hypotenuse and enter both legs, or choose Missing leg and enter one leg followed by the hypotenuse. Use the same measurement unit for both inputs.

A worked example

Legs of 3 and 4 give a hypotenuse of 5. If the hypotenuse is 13 and one leg is 5, the other leg is 12.

What to know

The formula a² + b² = c² applies only to right triangles. Every side must be positive. In missing-leg mode, the hypotenuse must be longer than the known leg.