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