Solution of Triangles


This cheat sheet covers the high school math concept – Solution of Triangles.

Solution of Triangles

Solution of triangles is the trigonometric problem of finding the angles and the side lengths of a triangle, when some of these are known.

A good knowledge of the trigonometric ratios and basic identities is a must to understand and solve problems related to solution of triangles. A cheat sheet on Trigonometry is also available on this website.

Also, you should be comfortable with various trigonometric identites related to the triangle, also sometimes referred to as conditional trigonometric identities. A cheat sheet on Conditional Trigonometric Identities is also available on this website.

This one page PDF covers summarised theory and the most important formulas related to the concept. Keep it handy while you’re revising the concept, especially before an exam.

The topics included in this cheat sheet are:

  • Three sides (SSS)
  • Three angles (AAA)
  • Two sides and included angle (SAS)
  • Two angles and included side (ASA)
  • Two angles and one non-included side (AAS)
  • Two sides and an angle not included between them (SSA) (ambiguous case)

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