Pythagorean Theorem Calculator
Find any missing side of a right triangle using the Pythagorean theorem a²+b²=c². Calculate hypotenuse or any leg. Also shows area and perimeter. Free.
Pythagorean Theorem Calculator
toolznova.com • Free Calculator
How to Use
Calculate right triangle in 3 steps.
Choose Side
Select which side to find — hypotenuse or a leg.
Enter Known Sides
Enter the two known sides of the right triangle.
Get Answer
Click Calculate for missing side, area, and perimeter.
Why ToolzNova?
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Results in milliseconds.
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Precise formulas every time.
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Mobile, tablet, desktop.
Why Use Pythagorean Theorem?
- Construction: Check right angles and calculate diagonal distances.
- Navigation: Calculate straight-line distances on maps.
- Engineering: Cable lengths, ramp design, structural calculations.
- Architecture: Roof pitch, staircase design, diagonal measurements.
- Physics: Resultant forces, velocity components, displacement.
- Everyday: TV screen sizes, ladder placement, furniture diagonals.
Tips & Examples
- Famous triples: 3-4-5, 5-12-13, 8-15-17 — all right triangles.
- TV size is diagonal — use this to find screen width and height.
- Ladder: length=hypotenuse, wall height=one leg.
- 45-45-90 triangle: hypotenuse = leg × √2 ≈ 1.414 × leg.
- 30-60-90 triangle: hypotenuse = 2 × shorter leg.
- Verify right angle: a² + b² must equal c².
Free Pythagorean Theorem Calculator Online
ToolzNova's free Pythagorean theorem calculator finds any missing side of a right triangle — hypotenuse from two legs, or a leg from hypotenuse and the other leg. Also shows triangle area and perimeter.
The Pythagorean theorem (a²+b²=c²) is one of the most famous and widely-used results in mathematics, with applications in construction, navigation, physics, engineering, and everyday distance problems.
Pythagorean Theorem
Hypotenuse: c = √(a²+b²). Leg a: a = √(c²−b²). Leg b: b = √(c²−a²). Pythagorean triples (3,4,5): 3²+4²=9+16=25=5². All multiples of triples are also triples.