Matematika

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Diketahui ABCD. EFGH panjang rusuk 12 lalu titik S ditengah BC jarak titik G ke AS (TLNG CARANYA YA)

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    >> ABCD.EFGH

    rusuk = 12 cm
    AG = 12√3 cm
    AS = √(AB² + BS²) = 6√5 cm
    GS = AS = 6√5 cm

    Perhatikan ∆ASG samakaki
    Jarak S ke AG = garis tinggi ∆ASG dg alas AG = SP
    SP = √(GS² - GP²)
    SP = √(180 - (6√3)²)
    SP = 6√2 cm

    Jarak G ke AS = GQ

    AG × SP = AS × GQ
    12√3 × 6√2 = 6√5 × GQ
    GQ = 12/5 √30 m

    Jarak G ke AS = 12/5 √30 cm

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