📐 Pythagorean Theorem Calculator

Find Missing Sides of Right-Angled Triangles

In a right triangle: a² + b² = c²
Where c is the hypotenuse (longest side)

Used in construction, navigation, computer graphics, physics, and distance calculations.

Greek mathematician (570-495 BC) who proved this fundamental geometric relationship.

🔺 Interactive Triangle Visualization

Side a (base):

Side b (height):

Side c (hypotenuse):

Sets of three positive integers (a, b, c) that satisfy a² + b² = c²:

Basic Triples:
3, 4, 5
5, 12, 13
8, 15, 17
7, 24, 25

Multiples of 3-4-5:
6, 8, 10
9, 12, 15
12, 16, 20
15, 20, 25

Larger Triples:
9, 40, 41
11, 60, 61
13, 84, 85
20, 21, 29

• Ensuring corners are square (3-4-5 rule)
• Calculating roof slopes
• Determining diagonal bracing
• Foundation layout

• Calculating shortest distances
• GPS positioning
• Flight path calculations
• Marine navigation

• Computer graphics
• Game development
• Screen diagonal sizes
• Distance algorithms