Teorema de Pitágoras — Calculadora Online Grátis
Find any triangle side with area and perimeter
The Pythagorean Theorem Calculator finds any side of a right triangle when two sides are known, using the relationship a² + b² = c². It also computes the triangle's area and perimeter from the same inputs. Carpenters checking square corners, students solving geometry problems, and engineers calculating diagonal distances all rely on this foundational formula.
Frequently Asked Questions
Sobre Esta Calculadora
The Pythagorean theorem (a² + b² = c²) describes the fundamental relationship between the three sides of any right-angled triangle. It is one of the oldest and most widely applied results in mathematics, used in architecture, construction, navigation, and computer graphics. This calculator solves for whichever side is missing — hypotenuse or either leg — and adds area and perimeter for completeness.
Pythagorean triples are integer combinations that satisfy the theorem exactly: (3,4,5), (5,12,13), (8,15,17), and (6,8,10) are common examples. The 3-4-5 triple is especially popular in construction because it gives a perfect right angle using just a tape measure.
Beyond basic geometry, the theorem extends to 3D through the space diagonal formula (d = √(a²+b²+c²)) and forms the foundation of the distance formula in coordinate geometry. Its applications range from checking whether a corner is square to calculating signal paths in telecommunications.
Cálculo de cateto sendo que possibilita analisar também ângulos da geometria das figuras das suas retas ortogonais no formato pitagórico.
Exemplo Resolvido
Finding the hypotenuse of a right triangle with legs 6 m and 8 m
Entradas:
- Leg a = 6 m
- Leg b = 8 m
Passo a Passo:
- Apply Pythagorean theorem: c² = a² + b²
- c² = 6² + 8² = 36 + 64 = 100
- c = √100 = 10 m
- Area = (a × b) / 2 = (6 × 8) / 2 = 24 m²
- Perimeter = a + b + c = 6 + 8 + 10 = 24 m