Calculate missing sides of a right triangle using a² + b² = c².
meters
meters
meters
• 3-4-5 • 5-12-13 • 6-8-10 • 7-24-25 • 8-15-17
• 9-40-41 • 20-21-29 • 12-35-37
Calculation:
c = √(a² + b²)
c = √(3² + 4²)
c = √(9.00 + 16.00)
c = 5.00 meters
Triangle Visualization:
/|
/ |
5.0 / | 4.0
/ |
/____|
3.0
a² + b² = c²
In any right triangle, the square of the length of the hypotenuse (c) equals the sum of the squares of the lengths of the other two sides (a and b).
These are sets of three positive integers that satisfy a² + b² = c²:
• Construction: Ensuring right angles in buildings
• Navigation: Calculating shortest distances
• Engineering: Structural design and analysis
• Surveying: Land measurement and plotting
• Computer Graphics: 3D modeling and game development
Example: a = 6, b = 8
Step 1: 6² = 36, 8² = 64
Step 2: 36 + 64 = 100
Step 3: √100 = 10
Result: c = 10