Calculate triangle

In the triangle, ABC, calculate the sizes of all heights, angles, perimeters, and area if given a=40cm, b=57cm, and 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=2a v1  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=193909:299826 A=π180°arcsin(v3/b)=π180°arcsin(36.8641/57)=40.2961=40°1746"
sinB=v3:a=36.8641:400.9216=82159:89148 B=π180°arcsin(v3/a)=π180°arcsin(36.8641/40)=67.1615=67°941"
C=180AB=18040.296167.1615=72.5424=72°3233"

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