Matematika

Pertanyaan

Tolong jawab ya guys
Tolong jawab ya guys

1 Jawaban

  • Balok ABCD.EFGH

    AB = 8 cm
    BC = CG = 4cm

    Perhatikan ∆AFH
    AF = FH = √(AB² + BF²) = √(8² + 4²) = 4√5 cm

    AH = diagonal sisi ADHE = 4√2 cm

    O tengah AH
    OA = 1/2 AH = 2√2 cm

    FO = √(EO² + EF²) = √(8 + 8²) = 6√2 cm

    Perhatikan ∆EFO siku di E
    sudut antara EF dan AFH = sudut EFO = a

    cos a = EF/FO
    cos a = 8/(6√2)
    cos a = 4/(3√2)
    cos a = 4/(3√2) . √2 /√2
    cos a = 4/6 √2
    cos a = 2/3 √2