Example 1 – Find the Hypotenuse
Find the hypotenuse x.
Sides: 3 and 4
x² = 3² + 4²
x² = 9 + 16 = 25
x = 5
Example 2 – Find a Missing Side
Find the missing side x.
Hypotenuse = 5
Side = 4
5² = x² + 4²
25 = x² + 16
x² = 9
x = 3
Example 3 – Find Another Side
Find the missing side x.
Hypotenuse = 5
Side = 3
5² = x² + 3²
25 = x² + 9
x² = 16
x = 4
Example 4 – Larger Triangle
Find the missing side x.
Hypotenuse = 13
Side = 12
13² = x² + 12²
169 = x² + 144
x² = 25
x = 5
Example 5 – Small Triangle
Find the hypotenuse y.
Sides: 1 and 1
y² = 1² + 1²
y² = 1 + 1 = 2
y = √2 ≈ 1.41
Practice
- More Examples
Continue Learning
- Pythagorean Formula
- Pythagoras Theorem (a² + b² = c²) – Visual Proof 1
- Pythagoras Theorem (a² + b² = c²) – Visual Proof 2
- Pythagoras Theorem (Example)