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PLEASE HELP LAW OF COSINES


Find the measure of J, the smallest angle in a triangle with sides measuring 11, 13, and 19. Round to the nearest whole degree.


30°

34°

42°

47°

PLEASE HELP LAW OF COSINES Find the measure of J, the smallest angle in a triangle with sides measuring 11, 13, and 19. Round to the nearest whole degree. 30 34 class=

Verified Answer :

The Law of Cosine states
cos\(C=(a^2+b^2-c^2)/2ab\)

so plugging in the numbers gives us

cos\(J=(13^2+19^2-11^2)/2(13*19) = 409/494\)

We now have cosJ so plug that into your calculator and find arccos (arccos(cos(J)) = J)
arccos\((409/494)=34.11\)
rounding your answer will give you 34°

Answer:

34 degrees

Step-by-step explanation:

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