Question

Need help with this

“Use the law of Cosines to find the missing side length. Set up and SHOW YOUR WORK”

1: 38km

2:48km

3:41km

4:46km

Answer 1

law of cosines states c^2=a^2+b^2-2abc

b^2=26^2+24^2-2(26×24)cos 134°

b^2=676+576-1248cos134°

cos134= -0.6946

b^2=1252-12(-0.6946)

12×(-0.6946)= -8.3352

b^2=1252-(-8.3352)

b^2=1252+8.3352

b^2=1260.33

b=√1260.33

b=35.50