Triangle Side Length Calculator – Find Sides Using Trigonometry

Calculate the side length of a triangle using the Law of Sines, Law of Cosines, or Pythagorean theorem.

Select a method, enter known values, then click Calculate Side.

This calculator helps find missing side lengths in triangles using three different methods. The Pythagorean theorem applies to right triangles: c² = a² + b². The Law of Sines is used when two angles and one side are known: a/sin(A) = b/sin(B) = c/sin(C). The Law of Cosines is used when two sides and the included angle are known: c² = a² + b² − 2ab·cos(C). These formulas are fundamental in geometry, trigonometry, and various real-world applications such as architecture, navigation, engineering, and surveying. Understanding these relationships helps solve triangles and calculate distances, heights, and angles in practical situations.

  1. Select the Method for calculation: Pythagorean, Law of Sines, or Law of Cosines.
  2. Enter the known values based on the method selected.
  3. Leave the unknown side field blank.
  4. Click Calculate Side to compute the missing length.
  5. The result shows the formula used and the calculated side length.
  6. Click Reset to restore default example values.

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