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%"($*/%(#"-9>%*'-*#$%*@"'/*$")*#$%*)"&%*"/%"3**X)'-9*#$/%%*B'77%/%-#*(,>,/)Y/%BE*?>6%*"-B*
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2
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(
Secondary Mathematics III
(
38
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23 4%5%(#*,-%*,6*7,8/*%98"#',-)*6/,&*)#%:*;<*)8($*")* a = blue + red <*"-=*8)%*#$%*,#$%/*#>,*
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='"B/"&* blue = b 2 ! green "-=* red = c 2 ! green <*>%*("-*>/'#%*#$')*%98"#',-C*
a 2 = b 2 ! green + c 2 ! green *,/* a 2 = b 2 + c 2 ! 2 " green 3***
2
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(
Secondary Mathematics III
!"#$%&"#'()*+')',-*./,0%(#*1*!
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39
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*
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a2 =
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b2 = *
c2 =
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(
Secondary Mathematics III
(
40
2$%*3"4*,5*6,)'-%)*("-*"7),*8%*9%/':%9*5,/*"-*,8#;)%*#/'"-<7%*8=*;)'-<*#$%*"7#'#;9%*,5*#$%*#/'"-<7%*
9/"4-*5/,&*#$%*:%/#%>*,5*#$%*,8#;)%*"-<7%?*")*'-*#$%*5,77,4'-<*9'"</"&?*4$%/%*4%*"));&%*#$"#*"-<7%*
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(
Secondary Mathematics III
(
*
234*56)#'78'-9*#$%*:";)*<*=%"($%/*>,#%)*
!"#$%&'&()"*+',-./0+'&+1"20.3"
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(
Secondary Mathematics III
(
2,#%*3,/*)#45%-#)6**7$%-*8%*/%3%/*#,*!!9*!"*,/*!#*8%*"/%*/%3%//'-:*#,*#$%*"-:;%)*,3*#$%*,/':'-";*
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F,/*%="&B;%9*'3*#$%*)%:&%-#*$':$;':$#%5*'-*#$%*3,;;,8'-:*5'":/"&*$")*4-C-,8-*;%-:#$*%&*#$%-*
cosC =
x
9*),* x = acosC 9*"-5*#$%*"/%"*,3*#$%*)$"5%5*/%(#"-:;%*')* b ! acosC >**?)C*)#45%-#)*#,*3'-5*
a
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*
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(
Secondary Mathematics III
(
2")%3*,-*#$%*(,4,/5(,3'-6*,7*#$%*3'"6/"&*8%4,9:*7,/*;<%)#',-*=*)#<3%-#)*9,<43*9/'#%>*
a 2 = blue + red
b 2 = blue + green *
c 2 = green + red
*
?)'-6*#$%*3'"6/"&*"-3*#$%*)<66%)#',-)*6'@%-*'-*A*"-3*B:*)#<3%-#)*)$,<43*8%*"84%*#,*3%/'@%*#$%*#$/%%*
7,/&)*,7*#$%*C"9*,7*D,)'-%)>*
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a 2 = b 2 + c 2 ! 2bc cos A
b 2 = a 2 + c 2 ! 2 ac cos B
c 2 = a 2 + b 2 ! 2 abcosC
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(
Secondary Mathematics III
(
23%)#',-*4*')*'-#%-5%5*#,*$%67*)#35%-#)*-,#'(%*#$"#*#$%*.8#$"9,/%"-*#$%,/%&*')*"*)7%('"6*(")%*,:*#$%*
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/%(#"-96%)*:,/&%5*,-*#$%*$87,#%-3)%*<'66*D%*#$%*)"&%*(,6,/)*")*#$%*#<,*)A3"/%)*,-*#$%*,#$%/*#<,*
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