Pythagorean Theorem — Worked Examples
Five real-world examples demonstrating the Pythagorean Theorem formula (a²+b²=c²).
1
Classic 3-4-5 Triangle
The most famous Pythagorean triple
Inputs
a 3
b 4
Result
c 5.0000
2
TV Screen Diagonal (40×30 cm)
Finding the diagonal measurement of a screen
Inputs
a 40
b 30
Result
c 50.0000
3
Ship Navigation (5km × 12km)
Distance a ship travels on a right-angle route
Inputs
a 5
b 12
Result
c 13.0000
4
Football Field Diagonal
Corner to corner across a football pitch
Inputs
a 100
b 68
Result
c 121.1940
5
Ladder Safety Check (4m height, 1.5m from wall)
Minimum ladder length for safe reach
Inputs
a 1.5
b 4
Result
c 4.2720