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Pythagorean Theorem Calculator

Find the missing side of a right triangle using the Pythagorean theorem.

⚡ Instant results🔒 Private — runs locally🆓 Free forever🚫 No signup

Pythagorean Theorem Calculator

Find the missing side of a right triangle using the Pythagorean theorem.

⚡ Instant🔒 Private🆓 Free🚫 No signupMathematically accurate
units
units
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Geometry Formulas

Hypotenuse: c = √(a² + b²) Rectangle Area: A = l × w Circle Area: A = π × r² Circumference: C = 2πr
a, b = Legs of right triangle (or side lengths)
c = Hypotenuse
r = Circle radius
l, w = Rectangle length and width

ℹ️ Pythagorean theorem applies only to right-angle triangles. π ≈ 3.14159

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Disclaimer

Results provided by this calculator are for informational and educational purposes only. They are based on the values you enter and standard formulas, and should not be considered financial, medical, legal, or professional advice. Always consult a qualified professional before making important decisions based on these results. Roughtools makes no warranties regarding the accuracy or completeness of these calculations for your specific situation.

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Frequently Asked Questions

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Pro Tips

1

For percentage calculations, convert the percentage to a decimal first (divide by 100) — this prevents calculation errors: 15% = 0.15, so 15% of 80 = 0.15 × 80 = 12.

2

When working with large numbers, use scientific notation to check your work. A calculator result that's off by a factor of 10 usually means a decimal point was misplaced.

3

Standard deviation close to zero means data is clustered tightly around the mean. High SD means high variability. Always report both mean and SD together for complete information.

4

Cross-check critical calculations with a different method or tool. For geometry, verify with the Pythagorean theorem. For statistics, verify mean with (max+min)/2 as a sanity check.

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When to Use This Calculator

🏗️Construction and DIY

Calculate area for flooring, paint coverage, or fencing before purchasing materials.

🎓Homework and exam prep

Verify calculations and practice working through problems step by step.

🏡Home improvement planning

Calculate room dimensions, wall area, or volume of materials needed for renovation projects.

📐Engineering estimates

Quick calculations for engineering problems where precision is needed before formal computation.

🛒Shopping math

Calculate discounts, percentage savings, or unit price comparisons while shopping.

About the Pythagorean Theorem Calculator

This Pythagorean theorem calculator finds the missing side of any right triangle using the formula a² + b² = c², where c is the hypotenuse. Enter any two sides to instantly calculate the third, with the full formula displayed and the calculation worked out step by step. Also shows the triangle's area, perimeter, and angle values. Built for students, architects, carpenters, and engineers working with right triangles.

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How to Use the Pythagorean Theorem Calculator

  1. 1

    Select which side you want to find: side a, side b, or hypotenuse c.

  2. 2

    Enter the two known side lengths.

  3. 3

    See the missing side calculated instantly using a² + b² = c².

  4. 4

    Review triangle area, perimeter, and acute angles as bonus outputs.

  5. 5

    Verify using the displayed step-by-step calculation.

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