Triangle Area, Side and Angle Calculator

Use this calculator to solve the unknown angles, sides and area of a triangle by providing three known values.

Triangle Area, Side and Angle Calculator

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Triangle Area, Side and Angle Calculator

Use the triangle calculator to solve the unknown angles, sides and area of a triangle by providing 3 known values.

The lengths of the sides must be in the same unit. For instance, you cannot directly solve a triangle where the sides are 8 m, 90 cm and 2 000 mm. In order to solve such a triangle, the lengths of the sides convert must be given in the same unit.

The lengths of the sides must be positive, and the angles must be greater than 0° and less than 180°.

When three sides are known (SSS), an individual solution can be formed. An impossible solution is given, if the longest side is longer than the sum of the other two sides.

When two angles and a side are known (ASA), an individual solution can always be formed when the sum of the angles provided is less than 180°.

When two sides and the angle between them are known (SAS), an individual solution can always be provided.

When two sides and the angle opposite to one side are known (SSA), the result can either be impossible or an individual solution, or two solutions.

Sources and more information
  1. Wikipedia: triangle
  2. Wikipedia: law of cosines
  3. Wikipedia: law of sines