Matematika

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No 19 ya kak
Dan caranyaaaaa
No 19 ya kak Dan caranyaaaaa

1 Jawaban

  • Dimensi Tiga

    DB = diagonal =  2√2 cm
    BG = diagonal = √(2²+x²)  = √(4+x²)
    DG = diagonal = √(2²+x²) = √(4+x²)
    sudut (DB, BG) = θ

    Δ BDG , aturan cosinus
    cos θ = (DB² + BG² - DG²)/ (2(DB)(BG)
    cos θ = (8 + 4+x² - 4 - x²) / (2 (2√2)(√(4+x²)
    cos θ=  8/ (4√ 2(4+x²)) =  2 /√ (8+2x²)

    θ = 60°  --> cos 60 = 2/ √(8+ 2x²)
    1/2 = 2/ √(8+ 2x²)
    √(8 + 2x²) = 2x 2 = 4
    8 + 2x² = 4²
    2x² = 16- 8 = 8
    x² = 4
    x = 2 atau x = - 2 (TM)
    x = 2