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Diketahui persegi panjang  dan titik  merupakan titik tengah ,  memotong diagonal  di . Jika  dan , maka  dapat dinyatakan sebagai ...

Pertanyaan

Diketahui persegi panjang begin mathsize 14px style O A B C end style dan titik begin mathsize 14px style D end style merupakan titik tengah begin mathsize 14px style O A end stylebegin mathsize 14px style C D end style memotong diagonal begin mathsize 14px style A B end style di begin mathsize 14px style P end style. Jika begin mathsize 14px style stack O A with rightwards arrow on top equals a with rightwards arrow on top end style dan begin mathsize 14px style stack O B with rightwards arrow on top equals b with rightwards arrow on top end style, maka begin mathsize 14px style stack O P with rightwards arrow on top end style dapat dinyatakan sebagai ...

  1. begin mathsize 14px style 1 half open parentheses a with rightwards arrow on top plus b with rightwards arrow on top close parentheses end style 

  2. begin mathsize 14px style 1 third open parentheses a with rightwards arrow on top plus b with rightwards arrow on top close parentheses end style 

  3. begin mathsize 14px style 2 over 3 a with rightwards arrow on top plus 1 third b with rightwards arrow on top end style 

  4. begin mathsize 14px style 1 third a with rightwards arrow on top plus 2 over 3 b with rightwards arrow on top end style 

  5. begin mathsize 14px style 1 half a with rightwards arrow on top plus 2 over 3 b with rightwards arrow on top end style 

Pembahasan Soal:

Gambar persegi tersebut adalah sebagai berikut.

Vektor begin mathsize 14px style stack D C with rightwards arrow on top end style dapat ditentukan sebagai berikut.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell stack D C with rightwards arrow on top end cell equals cell stack D A with rightwards arrow on top plus stack A C with rightwards arrow on top end cell row blank equals cell 1 half a with rightwards arrow on top plus b with rightwards arrow on top end cell end table end style

Vektor begin mathsize 14px style stack O P with rightwards arrow on top end style dapat ditentukan sebagai berikut.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell stack O P with rightwards arrow on top end cell equals cell stack O D with rightwards arrow on top plus stack D P with rightwards arrow on top end cell row blank equals cell stack O D with rightwards arrow on top plus 1 third stack D C with rightwards arrow on top end cell row blank equals cell 1 half a with rightwards arrow on top plus 1 third open parentheses 1 half a with rightwards arrow on top plus b with rightwards arrow on top close parentheses end cell row blank equals cell 1 half a with rightwards arrow on top plus 1 over 6 a with rightwards arrow on top plus 1 third b with rightwards arrow on top end cell row blank equals cell 2 over 3 a with rightwards arrow on top plus 1 third b with rightwards arrow on top end cell end table end style

Oleh karena itu, jawaban yang tepat adalah C.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 02 April 2021

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