Answer:
242.7
Explanation:
The law of cosines says that if we have tirangle of the form
then
[tex]c^2=a^2+b^2-2ab\cos C[/tex]
now in our case a = 254, b = 102, and C = 72; therefore, the above equation gives
[tex]c^2=254^2+102^2-2(254)(102)\cos 72^o[/tex]
which gives
[tex]c^2=74920-51816\cos 72^o[/tex][tex]c^2=74920-16012.02458[/tex][tex]c^2=58907.96[/tex]
taking the square root of both sides gives
[tex]c=\sqrt[]{58907.96}[/tex][tex]c=242.7[/tex]
which is our answer!
