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"

Try calculation via our triangle calculator.

Did you find an error or inaccuracy? Feel free to write us. Thank you!

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

We encourage you to watch this tutorial video on this math problem: video1   video2

Related math problems and questions: