Need help finding the meters to the question law of cosine

Question

asked Mar 6, 2023 191k views

1 Answer

Drew Brasher · Answer 1 · 2023-03-09T23:53:07+0000

Answer:

242.7

Step-by-step explanation:

The law of cosines says that if we have tirangle of the form

then

$c^2=a^2+b^2-2ab\cos C$

now in our case a = 254, b = 102, and C = 72; therefore, the above equation gives

$c^2=254^2+102^2-2(254)(102)\cos 72^o$

which gives

$c^2=74920-51816\cos 72^o$
c^2=74920-16012.02458

taking the square root of both sides gives

$c=\sqrt[]{58907.96}$
c=242.7

which is our answer!