Matematika

Pertanyaan

Jika panjang EG = 15 cm, tentukan panjang AE
Jika panjang EG = 15 cm, tentukan panjang AE

1 Jawaban

  • DF = FC

    DC = DF + FC
    DC = DF + DF
    DC = 2DF
    DC : DF = 2 : 1
    maka
    DC : FC = 2 : 1

    GC / FC = EC / DC
    GC / 1 = (EG + GC) / 2
    GC = (15 + GC) / 2
    2GC = 15 + GC
    2GC - GC = 15
    GC = 15 cm

    EC = EG + GC
         = 15 cm + 15 cm
         = 30 cm

    AC / AB = EC / ED
    (AE + EC) / 30 = EC / 24
    (AE + 30) / 30 = 30 / 24
    (AE + 30) / 30 = 5/4
    AE + 30 = 5/4 x 30
    AE + 30 = 37,5
    AE = 37,5 - 30
    AE = 7,5 cm