Law of Cosines ची गणना कशी करावी
Law of Cosines म्हणजे काय?
The Law of Cosines relates the three sides of any triangle to one of its angles. It generalises the Pythagorean theorem: when the angle C = 90°, cos(C) = 0 and the formula reduces to a² + b² = c².
चरण-दर-चरण मार्गदर्शक
- 1Label the triangle sides a, b, c and opposite angles A, B, C
- 2To find side c: c² = a² + b² − 2ab·cos(C)
- 3To find angle C: cos(C) = (a² + b² − c²) / 2ab
Worked Examples
इनपुट
a=8, b=11, C=37°
परिणाम
c ≈ 6.67
c²=64+121−2(8)(11)cos(37°)
इनपुट
a=5, b=7, c=10
परिणाम
C ≈ 111.8°
cos(C)=(25+49−100)/70=−0.37
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