Calculated Industries 4090 User Manual

Page 106

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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