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