Asked by jasmine
Given the points A(0,0), B(4, 3) and C(2,9), what is the measure of angle ABC?
Using Law of Cosines.
Using Law of Cosines.
Answers
Answered by
Steve
AB = 5
BC = √40
AC = √85, so
85 = 25+40-2(5)(√40)cos(ABC)
20 = -20√10 cos(ABC
cos(ABC) = -1/√10
ABC = 108.43°
BC = √40
AC = √85, so
85 = 25+40-2(5)(√40)cos(ABC)
20 = -20√10 cos(ABC
cos(ABC) = -1/√10
ABC = 108.43°
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