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Jarak titik dan adalah ...

Jarak titik begin mathsize 14px style straight K left parenthesis 20 comma space 30 right parenthesis end style dan begin mathsize 14px style straight L left parenthesis negative 20 comma space minus 30 right parenthesis end style adalah ...

  1. begin mathsize 14px style 20 square root of 13 end style 

  2. begin mathsize 14px style 15 square root of 13 end style 

  3. begin mathsize 14px style 10 square root of 13 end style 

  4. begin mathsize 14px style 5 square root of 13 end style  

Jawaban:

Perhatikan gambar berikut.


 
 

Diketahui titik begin mathsize 14px style straight K left parenthesis 20 comma space 30 right parenthesis end style dan begin mathsize 14px style straight L left parenthesis negative 20 comma space minus 30 right parenthesis end style, karena jarak kedua titik membentuk segitiga siku-siku, maka gunakan teorema Pythagoras.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell KL squared end cell equals cell x squared plus y squared end cell row cell KL squared end cell equals cell open parentheses 20 minus open parentheses negative 20 close parentheses close parentheses squared plus open parentheses 30 minus open parentheses negative 30 close parentheses close parentheses squared end cell row cell KL squared end cell equals cell 40 squared plus 60 squared end cell row cell KL squared end cell equals cell 1.600 plus 3.600 end cell row cell KL squared end cell equals cell 5.200 end cell row KL equals cell plus-or-minus square root of 5.200 end root end cell row KL equals cell plus-or-minus square root of 400 times 13 end root end cell row KL equals cell plus-or-minus 20 square root of 13 space satuan end cell end table end style 

Karena suatu jarak tidak mungkin negatif, maka pilih begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank KL end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 20 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell square root of 13 end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank space end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank satuan end table end style.

Jadi, jawaban yang tepat adalah A.

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