Matematika

Pertanyaan

2. Tentukan Panjang AB dan BD
2. Tentukan Panjang AB dan BD

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  • BD/AB = 5/(5 + 5√2)
    BD/15 = 5/5(1 + √2)
    BD/15 = 1/(1 + √2)
    BD = 15/(1 + √2)
    BD = 15(1 - √2) / (1 - (√2)²)
    BD = 15(1 - √2)/(-1)
    BD = 15(√2 - 1)

    BD/AB = 5/(5 + 5√2)
    (15 - AD)/15 = 1/(1 + √2)
    1 - AD/15 = 1/(1 + √2)
    AD/15 = 1 - 1/(1 + √2)
    AD = 15 (1 + √2 - 1)/(1 + √2)
    AD = 15√2 / (1 + √2)
    AD = 15√2 (1 - √2) / (1 - (√2)²)
    AD = 15√2 (√2 - 1)
    AD = 15(2 - √2)

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