Question

Solve the triangle (a is the side opposite α, b is opposite β, and c is opposite γ ). You may estimate to the nearest hundredth but be sure to indicate it is only an estimate, not an exact answer.

1. β=30°, γ=45°, a=5.

2. γ=40°, a=1, b=2

3. a=6, b=2, c=5

Answer 1

@ Given B=30' , 8=450 , a=5 uring the law of shes, xh 450 on From At Brands LAX +LP+ 2y = 180' Lo +30+45º =180 + Set . b = singo' x5 (b=4.829 sinios (22=1059 and 5 = 5 in (450) [e=3.66]

③ r=40", asl, b=2 using the low of cosiner fa²= 6²+6²-2 be cosA) e²=0²+6²-2 ab cost = 12+1292-841 (2) cos (403) c=1.39 - now by using low of siner in time soon 00g 24. >> sinB = Sibyo." 12 - 1.39 B = 67.640 ] in AABY LatLB+L&=180° 20 +67.64 + 40 = 180' ( [q=72-35 MAN