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Perhatikan gambar berikut.     Panjang sisi  ad...

Perhatikan gambar berikut.
 

 


Panjang sisi begin mathsize 14px style A C end style adalah ...

  1. begin mathsize 14px style 4 square root of 2 space cm end style 

  2. begin mathsize 14px style 4 square root of 3 space cm end style 

  3. begin mathsize 14px style 6 space cm end style 

  4. begin mathsize 14px style 6 square root of 3 space cm end style  

Jawaban:

Perbandingan trigonometri adalah perbandingan ukuran sisi-sisi suati segitiga siku-siku apabila ditinjau dari salah satu sudut yang terdapat pada segitiga tersebut.

Menentukan panjang begin mathsize 14px style A D 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 fraction numerator A D over denominator A B end fraction end cell row cell 1 half end cell equals cell fraction numerator A D over denominator 12 end fraction end cell row cell 2 cross times A D end cell equals 12 row cell A D end cell equals cell 12 over 2 end cell row cell A D end cell equals cell 6 space cm end cell end table end style

Gunakan perhitungan di atas untuk menentukan panjang begin mathsize 14px style C D end style.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell tan space 60 degree end cell equals cell fraction numerator A D over denominator C D end fraction end cell row cell square root of 3 end cell equals cell fraction numerator 6 over denominator C D end fraction end cell row cell C D end cell equals cell fraction numerator 6 over denominator square root of 3 end fraction end cell row cell C D end cell equals cell fraction numerator 6 over denominator square root of 3 end fraction cross times fraction numerator square root of 3 over denominator square root of 3 end fraction end cell row cell C D end cell equals cell 6 over 3 square root of 3 end cell row cell C D end cell equals cell 2 square root of 3 space cm end cell end table end style

Gunakan teorema pythagoras untuk menentukan panjang undefined.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell A C end cell equals cell square root of C D squared plus A D squared end root end cell row blank equals cell square root of open parentheses 2 square root of 3 close parentheses squared plus 6 squared end root end cell row blank equals cell square root of 12 plus 36 end root end cell row blank equals cell square root of 48 end cell row blank equals cell 4 square root of 3 space cm end cell end table end style

Sehingga didapat panjang undefined dari segitiga tersebut adalah undefined.

Jadi, jawaban yang tepat adalah B.

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