Calculate triangle

In the triangle ABC, calculate the sizes of all heights, angles, perimeters and its area, if given a-40cm, b-57cm, c-59cm

Correct answer:

o =  156 cm
S =  1087.4907 cm2
v1 =  54.3745 cm
v2 =  38.1576 cm
v3 =  36.8641 cm
A =  40.2961 °
B =  67.1615 °
C =  72.5424 °

Step-by-step explanation:

a=40 cm b=57 cm c=59 cm  o=a+b+c=40+57+59=156 cm
s=o/2=156/2=78 cm  S=s (sa) (sb) (sc)=78 (7840) (7857) (7859)=114 91=1087.4907 cm2
S=a v12  v1=2 S/a=2 1087.4907/40=54.3745 cm
v2=2 S/b=2 1087.4907/57=4 91=38.1576 cm
v3=2 S/c=2 1087.4907/59=36.8641 cm
sinA=v3:b=36.8641:570.6467 A=180°πarcsin(v3/b)=180°πarcsin(36.8641/57)=40.2961°=40°1746"
sinB=v3:a=36.8641:400.9216 B=180°πarcsin(v3/a)=180°πarcsin(36.8641/40)=67.1615°=67°941"
C=180AB=18040.296167.1615=72.5424°=72°3233"

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Tips to related online calculators
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Cosine rule uses trigonometric SAS triangle calculator.
See also our trigonometric triangle calculator.

 
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