Geometry Tool✨ New Release
Pythagorean Theorem Calculator
Solve missing side lengths a, b, or hypotenuse c of right triangles using a² + b² = c² with step-by-step radicals.
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Interactive Pythagorean Theorem Calculator Workspace
Mathematical Formula & Variables
Equation Model
c = sqrt(a² + b²), a = sqrt(c² - b²)Pythagorean theorem relation for right-angled triangles.
Variable Definitions
| Symbol | Description |
|---|---|
| a | Side leg a length |
| b | Side leg b length |
| c | Hypotenuse c length (opposite 90° right angle) |
How to Use the Pythagorean Theorem Calculator
- Select missing side to calculate (Hypotenuse c, Leg a, or Leg b).
- Enter two known side lengths.
- Calculate exact value, decimal approximation, perimeter, and area.
Practical Example Calculation
Scenario Context: Right triangle with legs a = 6 and b = 8 finding hypotenuse c.
Step 1: a² + b² = 6² + 8² = 36 + 64 = 100.
Step 2: c = sqrt(100) = 10.
Hypotenuse c = 10 | Area = 24 | Perimeter = 24.
Frequently Asked Questions
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