Pythagorean Theorem Calculator
Find the missing side (a, b, or c) in a right-angled triangle
Select Side to Find
Choose which side you want to calculate
Pythagorean Theorem
a² + b² = c²
c = √(a² + b²)
Result
Calculated value for side c
Side c =
5
units
Calculation:
c² = a² + b²
c² = 3² + 4²
c² = 9 + 16
c² = 25
c = 5
Right Triangle Diagram
Finding this side
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About Pythagorean Theorem Calculator
Calculate Missing Sides in Right Triangles
The Pythagorean theorem states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of squares of the other two sides. This calculator helps you find any missing side when you know the other two.
Features
- Find any side (a, b, or c)
- Visual right triangle diagram
- Step-by-step calculation
- Highlighted finding side
- Formula display
- High precision results
- Input validation
- Example values included
- Real-time updates
- Clean, modern interface
The Pythagorean Theorem
a² + b² = c²
• a and b are the legs (sides forming the right angle)
• c is the hypotenuse (longest side, opposite right angle)
Formulas
Find c:
c = √(a² + b²)
Find a:
a = √(c² - b²)
Find b:
b = √(c² - a²)
How to Use
- Select which side you want to find (a, b, or c)
- Enter the values for the two known sides
- View the calculated result instantly
- Check the step-by-step calculation
- Examine the visual triangle diagram
Common Applications
- Geometry homework and problems
- Construction and carpentry
- Navigation and distance calculation
- Architecture and design
- Physics and engineering
Famous Example
The 3-4-5 triangle is the most well-known Pythagorean triple: 3² + 4² = 9 + 16 = 25 = 5². Other common triples include 5-12-13, 8-15-17, and 7-24-25.