Matematika

Pertanyaan

Bantun jawab soalnya ya...
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2 Jawaban

  • AB = AP + DC + QB.
    60 = x + 30 + x.
    60 = 2x + 30.
    60 - 30 = 2x.
    30 = 2x.
    30/2 = x.
    15 = x.

    AD² = AP² + DP².
    DP² = AD² - AP².
    DP = √AD² - AP².
    DP = √30² - 15².
    DP = √900 - 225.
    DP = √675.
    DP = √225 × √3.
    DP = 15√3cm.

    L = ½ × (s1 + s2) × t.
    L = ½ × (30 + 60) × 15√3.
    L = ½ × 90 × 15√3.
    L = ½ × 1.350√3.
    L = 675√3cm².
  • DC = PQ = 30 cm
    AP = BQ = (AB - PQ) /2 = (60 - 30) /2 = 30/2 = 15 cm

    DP² = √AD² - AP²
    = √30² - 15²
    = √900 - 225
    = √675
    = √225 × √3
    = 15√3 cm

    luas trapesium
    =½(a+b) × t
    =½(60 + 30) × 15√3
    =½(90) × 15√3
    =45 × 15√3 cm²
    =675√3 cm²

    semoga membantu