CalculatorCast
Matemática Finanças Saúde e Fitness Data e Hora Conversores de Unidades Informática Física Química Construção Engenharia Estatística Educação Vida Cotidiana Biologia Automotivo Cozinha e Alimentação Esportes e Fitness Imóveis Fotografia Elétrica Agricultura Viagens Negócios
Todas as Calculadoras Favoritos ()
English Español Français Deutsch Português Italiano Nederlands Polski Türkçe 日本語 한국어 Svenska Norsk Dansk Suomi עברית

Calculadora da Lei dos Cossenos

Resolva um lado de um triângulo usando a lei dos cossenos.

Introdução

Law of Cosines Calculator — Solve a triangle side using the law of cosines. Enter Side a, Side b, Included angle C (degrees) to get an instant, accurate result.

Fórmula

Law of cosines: c² = a² + b² − 2ab×cos(C), solved for side c given two sides a, b and their included angle C (in degrees).

Passo a passo

  1. Enter the Side a.
  2. Enter the Side b.
  3. Enter the Included angle C (degrees).
  4. Click Calculate to see your result instantly.

Exemplo do mundo real

Example: With Side a = 3, Side b = 4, Included angle C (degrees) = 90, the Law of Cosines Calculator gives Side C: 5.

Perguntas Frequentes

When should I use law of cosines instead of law of sines?
Law of cosines is ideal when you know two sides and the angle between them (SAS), which law of sines can't directly solve.
Does this reduce to the Pythagorean theorem?
Yes — when C = 90°, cos(C) = 0 and the formula becomes c² = a² + b².
What inputs does the Law of Cosines Calculator need?
You'll need to provide: Side a, Side b, Included angle C (degrees). All fields use sensible defaults, so you can see a working example immediately and then adjust the values to match your own numbers.
How accurate is the Law of Cosines Calculator?
The Law of Cosines Calculator applies the formula exactly as calculated — Law of cosines: c² = a² + b² − 2ab×cos(C), solved for side c given two sides a, b and their included angle C (in degrees). — so results are precise for the inputs you provide. Accuracy depends on entering correct, realistic input values.
Is the Law of Cosines Calculator free to use?
Yes, the Law of Cosines Calculator is completely free, requires no signup, and runs instantly in your browser.

Sobre a Calculadora da Lei dos Cossenos

The Law of Cosines Calculator uses a real, verifiable formula — Law of cosines: c² = a² + b² − 2ab×cos(C), solved for side c given two sides a, b and their included angle C (in degrees). — so results are accurate every time, not an approximation.