Perimeter - ASA theorem

Calculate the perimeter of the triangle ABC if a = 12 cm, the angle beta is 38 degrees, and the gamma is 92 degrees.

Correct answer:

o =  37.2996 cm

Step-by-step explanation:

a=12 cm β=38  γ=92  α=180βγ=1803892=50   a:sin α = b:sin β  b=a sinβ/sinα=a sin38° /sin50° =12 sin38° /sin50° =12 0.615661/0.766044=9.64427 cm c=a sinγ/sinα=a sin92° /sin50° =12 sin92° /sin50° =12 0.999391/0.766044=15.65534 cm  o=a+b+c=12+9.6443+15.6553=37.2996 cm

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