Area 51

The area of a triangle is 54.39, angle alpha is 32°, and angle gamma is 144°.

Final Answer:

c =  4.9357

Step-by-step explanation:

S=54.39 α=32  β=144   S = 2c h  c=x+y tan α = h:x tan β=h:y  x = tan αh y = tan βh  k1=1/tanα=1/tan32° =1/0.624869=1.60033 k2=1/tanβ=1/tan144° =1/(0.726543)=1.37638  S = 2(k1 h+k2 h) h S = 2(k1+k2) h2 2S = (k1+k2) h2  h=k1+k22 S=1.6003+(1.3764)2 54.3922.0392  c=k1 h+k2 h=1.6003 22.0392+(1.3764) 22.0392=4.9357

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