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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

Live Solver
Solver Sandbox: This is a premium sandbox template for **Pythagorean Theorem Calculator**. The calculations are pre-configured to estimate variables. Below is the responsive form.

Mathematical Formula & Variables

Equation Modelc = sqrt(a² + b²), a = sqrt(c² - b²)

Pythagorean theorem relation for right-angled triangles.

Variable Definitions

SymbolDescription
aSide leg a length
bSide leg b length
cHypotenuse 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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