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Tentukan nilai begin mathsize 14px style a comma space b comma space p comma space q comma space x comma space dan space y end style pada segitiga berikut!

 

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Menentukan nilai begin mathsize 14px style a space dan space b end style

Segitiga (i) merupakan jenis segitiga siku-siku sama kaki, sehingga:

begin mathsize 14px style a equals b end style 

Maka: 

table attributes columnalign right center left columnspacing 0px end attributes row cell a squared plus b squared end cell equals cell open parentheses square root of 50 close parentheses squared end cell row cell a squared plus a squared end cell equals 50 row cell 2 a squared end cell equals 50 row cell a squared end cell equals 25 row a equals 5 row a equals cell b equals 5 space cm end cell end table 

Menentukan nilai begin mathsize 14px style p space dan space q end style:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell cos space 60 degree end cell equals cell 5 over p end cell row p equals cell 5 space colon space cos space 60 degree end cell row p equals cell 5 space colon space 1 half end cell row p equals cell 10 space cm end cell end table end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell sin space 60 degree end cell equals cell q over p end cell row cell 1 half square root of 3 end cell equals cell q over 10 end cell row q equals cell 1 half square root of 3 times 10 end cell row q equals cell 5 square root of 3 space cm end cell end table end style 

Menentukan nilai begin mathsize 14px style x space dan space y end style:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell cos space 30 degree end cell equals cell 24 over y end cell row y equals cell 24 space colon space 1 half square root of 3 end cell row y equals cell 16 square root of 3 end cell row blank blank blank end table end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell sin space 30 degree end cell equals cell x over y end cell row cell 1 half end cell equals cell fraction numerator x over denominator 16 square root of 3 end fraction end cell row x equals cell 8 square root of 3 space cm end cell end table end style 

Jadi, nilai begin mathsize 14px style bottom enclose bold a bold comma bold space bold b bold comma bold space bold p bold comma bold space bold q bold comma bold space bold x bold comma bold space bold y end enclose end style berturut-turut adalah begin mathsize 14px style bottom enclose bold 5 bold space bold cm bold comma bold space bold 5 bold space bold cm bold comma bold space bold 10 bold space bold cm bold comma bold space bold 5 square root of bold 3 bold space bold cm bold comma bold space bold 8 square root of bold 3 bold space bold cm bold comma bold space bold 16 square root of bold 3 bold space bold cm end enclose end style.

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