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Pythagorean Theorem Calculator

Calculate missing side of right triangles

📐 Math & Geometry ✅ Free to Use

Pythagorean Theorem Calculator

Calculate the missing side of a right triangle using the Pythagorean theorem: a² + b² = c². Perfect for construction, navigation, and geometry problems.

Missing Side (C)
5.0000
units
3.00² + 4.00² = 5.00²
9.00 + 16.00 = 25.00
6.000
Area (units²)
12.000
Perimeter
Right Triangle
Triangle Type

Triangle Details

Side A: 3.000000 units
Side B: 4.000000 units
Hypotenuse (C): 5.000000 units
Area: 6.000000 units²
Perimeter: 12.000000 units
Angle A: 36.87°
Angle B: 53.13°
Angle C: 90°

Right Triangle Visualization

a = 3.00b = 4.00c = 5.00A = 36.9°B = 53.1°C = 90°
Side A
Adjacent to angle A
3.00 units
Side B
Opposite to angle A
4.00 units
Hypotenuse C
Longest side
5.00 units

Pythagorean Theorem

a² + b² = c²
In a right triangle, the square of the hypotenuse equals the sum of squares of the other two sides.

Finding Hypotenuse

c = √(a² + b²)
When you know both legs

Finding a Leg

a = √(c² - b²)
When you know hypotenuse and one leg

Verification

25.00 = 25.00
Proof that it's a right triangle

Real-World Applications

🏗️ Construction

Ensure walls are square, calculate diagonal braces, roof measurements.

🧭 Navigation

Calculate direct distances, GPS coordinates, shortest paths.

📐 Engineering

Structural analysis, force calculations, design optimization.

🎯 Sports

Baseball diamond distances, soccer field diagonals, court measurements.

📺 Technology

Screen sizes, antenna positioning, cable lengths.

🏠 Home Improvement

Ladder safety, room diagonals, furniture placement.