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2. Mathematics
3. Geometry
4. Right Angle Triangle Hypotenuse

\(base\)

(length of base of right triangle)

units

\(height\)

(height of right triangle)

units

Hypotenuse

units

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How to use Right Angle Triangle Hypotenuse Calculator

1. Enter ✎ value for length of base of right triangle \((base)\).
2. Enter ✎ value for height of right triangle \((height)\).
3. The result appears beneath the inputs as you enter values.

About this calculation

The hypotenuse of a right angle triangle is calculated using Pythagoras Theorem which states that the square of hypotenuse is the sum of squares of base and height.

Formula

To calculate the right angle triangle hypotenuse, you can use the following formula.

Hypotenuse = \(\sqrt{ base ^2 + height ^2 } \)

where

Calculation

{
  "topic": "hypotenuse-of-right-angle-triangle",
  "img": {
    "width": 288,
    "height": 336
  },
  "input_types": [
    "float",
    "float"
  ],
  "input_labels": [
    "base",
    "height"
  ],
  "input_values": [
    "8",
    "5"
  ],
  "input_units": [
    "units",
    "units"
  ],
  "input_descriptions": [
    "length of base of right triangle",
    "height of right triangle"
  ],
  "examples": [
    {
      "base": 10,
      "height": 15
    },
    {
      "base": 1,
      "height": 0.5
    }
  ],
  "type": "Calculate",
  "title": "Right Angle Triangle Hypotenuse",
  "category": "Geometry",
  "shape": "Right Triangle",
  "formula_mathjax": "\\(\\sqrt{ base ^2 + height ^2 } \\)",
  "formula": " Math.sqrt( base * base + height * height ) ",
  "op_label": "Hypotenuse",
  "output_unit": "units",
  "description": "The hypotenuse calculator calculates the length of hypotenuse of a right angled triangle by taking its base length and height as inputs.",
  "explanation": "The hypotenuse of a right angle triangle is calculated using Pythagoras Theorem which states that the square of hypotenuse is the sum of squares of base and height."
}