Math Tool

Pythagorean Theorem Calculator

Calculate hypotenuse or unknown leg of a right-angled triangle.

Input Parameters

Calculation Results

Hypotenuse (c)
5
Leg a
3
Leg b
4
Triangle Area
6
Perimeter
12
Step-by-Step Calculation Solution
1.Pythagorean Theorem: a² + b² = c²
2.Calculated values: a = 3, b = 4, c = 5

Formula & How Pythagorean Theorem Calculator Works

Mathematical Formula
c = √(a² + b²)

In any right triangle, the square of the hypotenuse (longest side opposite the 90° angle) equals the sum of the squares of the other two legs.

How to Calculate Pythagorean Theorem Calculator (Step-by-Step)
  1. Enter Solve For: Input your target parameter value.
  2. Enter First Known Side Length: Input your target parameter value.
  3. Enter Second Known Side Length: Input your target parameter value.
  4. Apply Formula: Calculate using c = √(a² + b²).
  5. Review Results: View exact computed answers, metrics, and worked mathematical proofs.
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Frequently Asked Questions (FAQs)

What is a 3-4-5 triangle?

A classic right triangle Pythagorean triple where legs 3 and 4 produce hypotenuse 5.

Official Regulatory & Government Data Sources

Authoritative Standards & Verified Reference Citations

Independent & Verified

Calculations and mathematical logic on this page are grounded in published statutory rules, regulatory standards, and official government data published by the following bodies:

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