Matematika

Pertanyaan

tolong bantu nomor 21 beserta caranya
tolong bantu nomor 21 beserta caranya

2 Jawaban

  • K = AB + BC + CA
    44 = AB + 20 + 13
    44 = AB + 33
    11 = AB

    OB = OA + AB
    = 5 + 11
    = 16 cm

    CO² = BC² - OB²
    CO² = 20² - 16²
    CO² = 400 - 256
    CO² = 144
    CO = √144
    CO = 12 cm

    L segitiga besar (BOC)
    = ½ × a × t
    = ½ × 16 × 12
    = 96 cm²

    L segitiga kecil (AOC)
    = ½ × a × t
    = ½ × 5 × 12
    = 30 cm²

    L segitiga ABC
    = L segitiga besar - L segitiga kecil
    = 96 - 30
    = 66 cm²
  • Keliling = AB + BC +AC
    44 = AB + 20 + 13
    44 = AB + 33
    AB = 44 - 33 = 11 cm

    OB = OA + AB = 5 + 11 = 16 cm

    Tinggi segitiga
    = √BC²-OB²
    = √20²-16²
    = √400-256
    = √144
    = 12 cm

    Luas segitiga ABC
    = a × t/2
    = 11 × 12/2
    = 66 cm