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Cosine rule

In each triangle you can apply the cosine rule to calculate angles and sides

 


Explanation

We calculate the formula here with figure 17.

In the right triangle ACD applies

The sides of triangle BCD are determined by BC2 = BD2 + CD2, so




The cosine rule is valid for all triangles. If ∠α = 90° then cos α = 0 and you have the Pythagorean theorem.

 


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