Formula
Find a side when two sides and included angle known
Example
- a=5, b=7, C=60°
- c² = 25+49−70×0.5 = 39
- c ≈ 6.24
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△ Trigonometry
Find a side when two sides and included angle known
Formula
Find a side when two sides and included angle known
Pick a grade — we’ll generate a matching worksheet for Law of Cosines right here.
Law of Cosines (law of cosines) is a trigonometry relationship written as Find a side when two sides and included angle known or c² = a² + b² − 2ab cos C. Students use it to solve unknowns when enough values are known.
Write Find a side when two sides and included angle known, substitute the known numbers carefully, then simplify. Worked walkthrough: a=5, b=7, C=60° c² = 25+49−70×0.5 = 39 c ≈ 6.24.
Law of Cosines usually appears in trigonometry units during middle or secondary school. Match difficulty with MathDigits grade worksheets so practice fits the curriculum year.
On this page the worked result is ≈ 6.24. Generate a formula worksheet below for more unique practice sets.