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Solve NowThe formula for the law of cosines is: a 2 = b 2 + c 2 − 2 b c cos ( α) b 2 = a 2 + c 2 − 2 a c cos ( β) c 2 = a 2 + b 2 − 2 a b cos ( γ) where, a, b, c represent the lengths of the sides of the triangle and α, β, γ represent the angles of the triangle as
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Labeling the lengths of the sides DE, EF D E, E F and DF D F as f, d f, d and e e, respectively, and applying the law of cosines gives e2 = d2 + f2 − 2dfcos 90∘ e 2 = d 2 + f 2 − 2
b2 = a2 + c2 w h e n β = 90 d e g r e e s. c2 = b2 + a2 w h e n γ = 90 d e g r e e s. The law of cosine equation is useful for evaluating the third side of a triangle when the two other sides and their
The law of cosines tells us that the square of one side is equal to the sum of the squares of the other sides minus twice the product of these sides and the cosine of the intermediate angle.
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