Three Four Five Rule Calculator

Three Four Five Rule Calculator calculator can be used to verify a right triangle where the sides are in the ratio 3:4:5.

Input Parameters

Calculation Results

Calculation Formula

For a right triangle, the sides should satisfy the equation: 3x² + 4x² = 5x²

Where:
x = scaling factor
3x = length of the shortest side
4x = length of the middle side
5x = length of the hypotenuse

Is it a valid 3-4-5 triangle?

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Scaling factor (x)

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Three Four Five Rule Calculator Calculator Usage Guide

Learn how to use the Three Four Five Rule Calculator calculator and its working principles

What is the 3-4-5 Rule?

The 3-4-5 rule is a simple method used to verify whether a triangle is a right triangle. According to this rule, if one side of a triangle is three units long, the side adjacent to it is four units long, and the hypotenuse (the longest side) is five units long, then the triangle is a right triangle.

How to Use This Calculator

  1. Enter the lengths of all three sides of your triangle in the input fields labeled "Side A (3x)", "Side B (4x)", and "Side C (5x)".
  2. Click the "Calculate" button to verify if the triangle satisfies the 3-4-5 rule.
  3. The calculator will display whether the triangle is valid (Yes/No) and the scaling factor (x) if it is valid.

Example

If you enter 9 for Side A, 12 for Side B, and 15 for Side C, the calculator will confirm that it is a valid 3-4-5 triangle with a scaling factor of 3.

Mathematical Explanation

The 3-4-5 rule is based on the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b): a² + b² = c². For the 3-4-5 triangle, this becomes 3² + 4² = 5², which simplifies to 9 + 16 = 25.