Triangle 35881

The sum of the lengths of the two sides b + c = 12 cm
Beta angle = 68
Gamma angle = 42
draw triangle ABC

Correct answer:

a =  7.064 cm
b =  6.9699 cm
c =  5.0301 cm

Step-by-step explanation:

b+c=12 β=68  γ=42  α=180βγ=1806842=70    b:c = sin β : sin γ  k=sinβ/sinγ=sin68° /sin42° =0.927184/0.669131=1.38565  b+c=12 b=k c b+c=12 b=1.3856545280631 c  b+c=12 b1.385655c=0  Row2Row1Row2 b+c=12 2.39c=12  c=2.3856545312=5.03006611 b=12c=125.03006611=6.96993389  b=6.969934 c=5.030066  a=b2+c22 b c cosα=b2+c22 b c cos70° =6.96992+5.030122 6.9699 5.0301 cos70° =6.96992+5.030122 6.9699 5.0301 0.34202=7.064=7.064 cm
c=5.03015.0301 cm   Verifying Solution:  s=b+c=6.9699+5.0301=12

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