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Cosine law, calculation of the length of a side of triangle, when lengths of two sides and the included angle are given

ÀÛ¼ºÀÚ Uploader : ppippi ÀÛ¼ºÀÏ Upload Date: 2019-08-10º¯°æÀÏ Update Date: 2019-08-13Á¶È¸¼ö View : 256

If the angle of triangle ABC is called A, B and C and the length of the side facing to each angle is a, b and c, the following equation is established.

a^2 = b^2 + c^2 - 2*b*c*cos(A)
b^2 = c^2 + a^2 - 2*c*a*cos(B)
c^2 = a^2 + b^2 - 2*a*b*cos(C)

Knowing the lengths of two sides b and c and the included angle A, we can find the length of side a as :

a = (b^2 + c^2 - 2*b*c*cos(A))

*** Âü°í¹®Çå[References] ***

a = (b^2 + c^2 - 2*b*c*cos(A))
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