Triangle J K L is shown. The

samphacc+9876

samphacc+9876

Answered question

2022-04-21

Triangle J K L is shown. The length of J K is 13, the length of K L is 11, and the length of L J is 19.Law of cosines: a2 = b2 + c2 – 2bccos(A)

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

30°
34°
42°
47°

Answer & Explanation

star233

star233

Skilled2022-06-20Added 403 answers

The Law of Cosine states
cosC=a2+b2-c2)/2ab

so plugging in the numbers gives us

cos J=(132+192-112)/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 34o

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