Matematika

Pertanyaan

pada gambar diatas,PQ//BC.panjngBCadalah...
pada gambar diatas,PQ//BC.panjngBCadalah...

2 Jawaban

  • AQ ÷ AC = AP ÷ AB
    12 ÷ (12 + 16) = x ÷ (x + x + 5)
    12 ÷ 28 = x ÷ (2x + 5)
    12 (2x + 5) = 28x
    24x + 60 = 28x
    28x - 24x = 60
    4x = 60
    x = 15 cm

    PB = x + 5 = 15 + 5 = 20 cm
  • [tex] \frac{AC}{AB} = \frac{AQ}{AP} [/tex]
    [tex] \frac{12 + 16}{x + (x + 5)} = \frac{12}{x} [/tex]
    [tex] \frac{28}{2x + 5} = \frac{12}{x} [/tex]
    28x = 12(2x+5)
    28x = 24x + 60
      4x = 60
        x = 15

    PB = x + 5
          = 15 + 5
          = 20