Question

Can someone help me on this Law of Cosines Review worksheet?

Answer 1

see below

Explanation:

the law of sines states that for unknown side value c, known side values a and b and known angle C where angle C is opposite side c,

`c^2 = a^2+b^2-2abcos(C)`

I won't solve all the problems since practice will help you solidify this skill, but I'll give the solutions to 2 problems as a template for you

1) finding AB

AB = c

c² = 20²+32²-2(20)(32)cos(54)

c = √[20²+32²-2(20)(32)cos(54)] = 25.9

2) finding AB

AB = c

c = √[42²+ 35²-2(42)(35)cos(69)] = 44.0