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Suatu garis  di bagi menjadi  bagian yang sama olen titik-titik ,  dan  tentukan nilai nilai perbandingan berikut ini a.  b.  c.  d.  e.  f.  g.  h.  I.  j.

Pertanyaan

Suatu garis text PT end text di bagi menjadi 4 bagian yang sama olen titik-titik straight Qstraight R dan straight S tentukan nilai nilai perbandingan berikut ini
a. PQ space colon space RS
b. PQ space colon space QS
c. PQ space colon space PT
d. PR space colon space RT
e. PR space colon space PT
f. PT space colon space TR
g. RT space colon space TQ
h. RP space colon space PS
I. SP space colon space PR
j. SQ colon space QT

Pembahasan Soal:

Karena di bagi menjadi 4 bagian yang sama oleh titik-titik straight Qstraight R dan straight S maka tiap bagian garis sama, anggap tiap ruas garis memiliki panjang yang sama yaitu 1. Garis dapat digambarkan sebagai berikut,

a. PQ space colon space RS

PQ space colon space RS space space space 1 space colon space 1


b. PQ space colon space QS

table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell PQ space colon space QS end cell row blank blank cell PQ space colon space left parenthesis QR plus RS right parenthesis end cell row blank blank cell space space space 1 space colon thin space left parenthesis 1 plus 1 right parenthesis end cell row blank blank cell space space space 1 space colon thin space 2 end cell end table


c. PQ space colon space PT

PQ space colon space PT PQ space colon space left parenthesis PQ plus QR plus RS plus ST right parenthesis space space space 1 space colon thin space left parenthesis 1 plus 1 plus 1 plus 1 right parenthesis space space space 1 space colon space 4


d. PR space colon space RT

table attributes columnalign right center left columnspacing 0px end attributes row cell PR over RT end cell equals cell fraction numerator PQ plus QR over denominator RS plus ST end fraction end cell row cell PR over RT end cell equals cell fraction numerator 1 plus 1 over denominator 1 plus 1 end fraction end cell row cell PR over RT end cell equals cell 2 over 2 end cell row cell PR space colon space RT space end cell equals cell space 2 space colon space 2 end cell end table


e. PR space colon space PT

table attributes columnalign right center left columnspacing 0px end attributes row cell PR over PT end cell equals cell fraction numerator PQ plus QR over denominator PQ plus QR plus RS plus ST end fraction end cell row blank equals cell fraction numerator 1 plus 1 over denominator 1 plus 1 plus 1 plus 1 end fraction end cell row blank equals cell 2 over 4 end cell row cell PR space colon thin space PT space end cell equals cell space 2 space colon space 4 end cell end table


f. PT space colon space TR

table attributes columnalign right center left columnspacing 0px end attributes row cell PT over TR end cell equals cell fraction numerator PQ plus QR plus RS plus ST over denominator RS plus ST end fraction end cell row blank equals cell fraction numerator 1 plus 1 plus 1 plus 1 over denominator 1 plus 1 end fraction end cell row blank equals cell 4 over 2 end cell row cell PT space colon space TR end cell equals cell 4 space colon space 2 end cell end table


g. RT space colon space TQ

table attributes columnalign right center left columnspacing 0px end attributes row cell RT over TQ end cell equals cell fraction numerator RS plus ST over denominator QR plus RS plus ST end fraction end cell row blank equals cell fraction numerator 1 plus 1 over denominator 1 plus 1 plus 1 end fraction end cell row blank equals cell 2 over 3 end cell row cell RT space colon space TQ end cell equals cell 2 space colon thin space 3 end cell end table


h. RP space colon space PS

table attributes columnalign right center left columnspacing 0px end attributes row cell RP over PS end cell equals cell fraction numerator PQ plus QR over denominator PQ plus QR plus RS end fraction end cell row blank equals cell fraction numerator 1 plus 1 over denominator 1 plus 1 plus 1 end fraction end cell row blank equals cell 2 over 3 end cell row cell RP space colon space PS space end cell equals cell space 2 space colon thin space 3 end cell end table


I. SP space colon space PR

table attributes columnalign right center left columnspacing 0px end attributes row cell SP over PR end cell equals cell fraction numerator PQ plus QR plus RS over denominator PQ plus QR end fraction end cell row blank equals cell fraction numerator 1 plus 1 plus 1 over denominator 1 plus 1 end fraction end cell row blank equals cell 3 over 2 end cell row cell SP space colon space PR end cell equals cell 3 space colon space 2 end cell end table


j. SQ colon space QT

table attributes columnalign right center left columnspacing 0px end attributes row cell SQ over QT end cell equals cell fraction numerator QR plus RS over denominator QR plus RS plus ST end fraction end cell row blank equals cell fraction numerator 1 plus 1 over denominator 1 plus 1 plus 1 end fraction end cell row blank equals cell 2 over 3 end cell row cell SQ space colon space QT end cell equals cell 2 space colon space 3 end cell end table

 


Jadi, perbandingan . PQ space colon space RS,  PQ space colon space QSPQ space colon space PTPR space colon space RTPR space colon space PTPT space colon space TRRT space colon space TQRP space colon space PSSP space colon space PR, dan SQ colon space QT berturut-turut adalah 1 space colon space 11 space colon space 21 space colon 42 space colon space 22 space colon space 44 space colon space 22 space colon space 32 space colon space 33 space colon space 2, dan 2 space colon space 3.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 19 Juli 2021

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