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Diketahui tiga bilangan yaitu . Nilai  agar bilang...

Diketahui tiga bilangan yaitu begin mathsize 14px style text 2x, x+5, dan 10 end text end style. Nilai begin mathsize 14px style x end style agar bilangan-bilangan tersebut menjadi tripel Pythagoras adalah ....

  1. begin mathsize 14px style 2 end style 

  2. begin mathsize 14px style 3 end style 

  3. begin mathsize 14px style 4 end style 

  4. begin mathsize 14px style 5 end style 

Jawaban:

Diketahui: tiga bilangan membentuk tripel pythagoras

misalkan,

 begin mathsize 14px style a space equals space 2 x b space equals space x plus 5 c space equals space 10 end style

 Dengan menggunakan Teorema Pythagoras: begin mathsize 14px style c squared equals a squared plus b squared end style

perhatikan perhitungan di bawah ini!

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell c squared end cell equals cell a squared plus b squared end cell row cell 10 squared end cell equals cell left parenthesis 2 x right parenthesis squared plus left parenthesis x plus 5 right parenthesis squared end cell row 100 equals cell 4 x squared plus x squared plus 10 x plus 25 end cell row cell 100 space end cell equals cell space 5 x squared plus 10 x plus 25 end cell row cell 100 minus 100 space end cell equals cell space 5 x squared plus 10 x squared plus 25 minus 100 space end cell row cell 0 space end cell equals cell space 5 x squared plus 10 x minus 75 end cell row cell left parenthesis 5 x squared plus 10 x minus 75 right parenthesis space colon space 5 space end cell equals cell space 0 space colon space 5 space end cell row cell x squared plus 2 x minus 15 end cell equals 0 row cell left parenthesis x minus 3 right parenthesis left parenthesis x plus 5 right parenthesis end cell equals 0 row blank blank blank row cell x minus 3 end cell equals 0 row cell x minus 3 plus 3 end cell equals cell 0 plus 3 space end cell row x equals 3 row blank blank blank row blank blank cell x plus 5 equals 0 end cell row cell x plus 5 minus 5 end cell equals cell 0 minus 5 end cell row x equals cell negative 5 end cell row blank blank blank row cell text Jadi, end text space x end cell equals cell 3 text  atau end text space x equals negative 5 end cell end table end style  

Pilih begin mathsize 14px style x equals 3 end style  (panjang sisi tidak bernilai negatif)

Jadi, jawaban yang tepat adalah B.

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