Matematika

Pertanyaan

Tolong nomor 50-52, kalau bisa cepet ya
Tolong nomor 50-52, kalau bisa cepet ya

1 Jawaban

  • 50)
    AB² + BC² = AC²
    AB² + 15² = 17²
    AB² + 225 = 289
    AB² = 64
    AB = √64 = 8 cm

    luas ∆ABC = luas ∆ ABC
    AB × BC × ½ = AC × BE × ½
    AB × BC = AC × BE
    8 × 15 = 17 × BE
    17 × BE = 120
    BE = 120/7

    jadi, panjang BE = 120 / 17 cm

    51)
    < ABC + < ACB + < BAC = 180
    (5x + 9) + (9x + 3) + 7x = 180
    21x + 12 = 180
    21x = 168
    x = 8

    besar < ACB = 9x + 3 = 9(8) + 3 = 72 + 3 = 75°

    jadi, besar sudut ACB 75°

    52) luas ∆ ACD = a × t × ½
    = AB × CD × ½
    = 12 × 11 × ½
    = 66

    jadi, luas ∆ACD = 66 cm²