Example 1: Finding the hypotenuse
\(a = 3, b = 4 \rightarrow c^2 = 3^2 + 4^2 = 9 + 16 = 25 \rightarrow c = \sqrt{25} = 5\)
Calculatrice du théorème de Pythagore
Trouver le côté manquant d'un triangle rectangle en utilisant le théorème de Pythagore (a² + b² = c²) avec solution détaillée étape par étape
Résultats
Entrez les valeurs et cliquez sur Calculer pour voir le résultat.
Theory & Formula
The Pythagorean theorem is a fundamental principle in geometry that relates the sides of a right triangle. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
This theorem only applies to right triangles (triangles with one 90-degree angle). The hypotenuse is always the longest side and is opposite the right angle.
Common Pythagorean Triples
- 3, 4, 5 (and multiples: 6, 8, 10; 9, 12, 15; etc.)
- 5, 12, 13
- 8, 15, 17
- 7, 24, 25
- 9, 40, 41
\(a^2 + b^2 = c^2\)
Worked Examples
Example 2: Finding a leg
\(a = ?, b = 8, c = 10 \rightarrow a^2 = 10^2 - 8^2 = 100 - 64 = 36 \rightarrow a = \sqrt{36} = 6\)