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Nilai  yang memenuhi gambar di bawah adalah ...

Nilai begin mathsize 14px style x end style yang memenuhi gambar di bawah adalah ...

 

  1. begin mathsize 14px style 5 end style 

  2. begin mathsize 14px style 7 end style 

  3. begin mathsize 14px style 8 end style 

  4. begin mathsize 14px style 10 end style 

Jawaban:

 

 Langkah 1. Menentukan panjang sisi tegak AC pada segitiga 

table attributes columnalign right center left columnspacing 0px end attributes row cell AC squared end cell equals cell BC squared minus AB squared end cell row AC equals cell plus-or-minus square root of BC squared minus AB squared end root end cell row blank equals cell plus-or-minus square root of open parentheses 17 close parentheses squared minus open parentheses 15 close parentheses squared end root end cell row space equals cell plus-or-minus square root of 289 minus 225 end root end cell row space equals cell plus-or-minus square root of 64 end cell row space equals cell plus-or-minus 8 space rightwards arrow AC equals 8 space cm end cell end table 

Langkah 2. Menentukan nilai x 

table attributes columnalign right center left columnspacing 0px end attributes row cell CD squared end cell equals cell AD squared plus AC squared end cell row CD equals cell plus-or-minus square root of AD squared plus AC squared end root end cell row cell open parentheses 3 x minus 5 close parentheses end cell equals cell plus-or-minus square root of open parentheses 6 close parentheses squared plus open parentheses 8 close parentheses squared end root end cell row cell open parentheses 3 x minus 5 close parentheses end cell equals cell plus-or-minus square root of 36 plus 64 end root end cell row cell open parentheses 3 x minus 5 close parentheses end cell equals cell plus-or-minus square root of 100 end cell row cell open parentheses 3 x minus 5 close parentheses end cell equals 10 row cell open parentheses 3 x minus 5 close parentheses plus 5 end cell equals cell 10 plus 5 end cell row cell 3 x end cell equals 15 row x equals cell 15 over 3 end cell row x equals 5 end table 

Jadi, jawaban yang tepat adalah A.

 

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