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 THE SOLUTIONS OF A

 TRIANGLE

MODULE 13

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When solving oblique !i"ngles# si$%l& using!igono$e!i' (un'ions is no enough) *ou nee+,

 The L"- o( Sines

C 

c

 B

b

 A

a

sinsinsin==

 The L"- o( .osines

"/0b/'/2/b' 'osA

b/0"/'/2/"' 'os

'/0"/b/2/"b 'os.

I is use(ul o $e$o!i4e hese

l"-s) The& '"n be use+ o solve"n& !i"ngle i( enough

$e"su!e$ens "!e given)

"

'

bA

.

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15)1D"" Requi!e+ (o! Solving Oblique T!i"ngles

Case 1 One si+e "n+ -o "ngles 6no-n7»SAA o! ASA

Case 2  T-o si+es "n+ one "ngle noin'lu+e+

be-een he si+es 6no-n7»SSA» This '"se $"& le"+ o $o!e h"n

one soluion)

Case 3  T-o si+es "n+ one "ngle in'lu+e+be-een

he si+es 6no-n7»SAS

Case 4  Th!ee si+es "!e 6no-n7

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