Appendix D - Law Of Cosines/Heron's Theorem Formulas - Calculated Industries Sheet Metal/HVAC Pro Calc User Manual

APPENDIX D — LAW OF COSINES / HERON'S
THEOREM FORMULAS
Law of Cosines
B
Law of Sines
b
C
Heron's Theorem
( )
A
Tan =
2 s – a
A
c
b
a C
A
c
R
a B
s =
( )
r
Tan
a = b + c
2 2
b = c + a
2 2
c = a + b
2 2
a b
=
sin A sin B
1
(a + b + c)
2
B r
=
2 s – b
– 2bccosA
2
– 2cacosB
2
– 2abcosC
2
c
= = 2R
sin C
( )
C
Tan =
2
U ' G
SER S UIDE
r
s – c
— 105