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12 June, 22:55

Using the defects method, which of these relationships represents the Law of Cosines if the measure of the included angle between the sides a and b of ∆ABC is more than 90°?

a. area of square c2 = - area of square a2 - area of square b2 + area of defect1 + area of defect2

b. area of square c2 = area of square a2 + area of square b2 + area of defect1 - area of defect2

c. area of square c2 = area of square a2 + area of square b2 - area of defect1 - area of defect2

d. area of square c2 = area of square a2 + area of square b2 + area of defect1 + area of defect2

e. area of square c2 = area of square a2 - area of square b2 + area of defect1 - area of defect2

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  1. 12 June, 23:24
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    "area of square c2 = area of square a2 + area of square b2 - area of defect1 - area of defect2" is the one relationship that represents the Law of Cosines if the measure of the included angle between the sides a and b of ∆ABC is more than 90°. The correct option among all the options that are given in the question is option "c".
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