Matematika

Pertanyaan

jika panjang ad= 2√6, panjang bc = ... cm
jika panjang ad= 2√6, panjang bc = ... cm

2 Jawaban

  • AD/sin C = CD/sin A
    2akar6/sin 60 = CD/sin 30
    CD = 2 akar 6 sin 30/sin 60
    CD = akar 6 / sin 60 = 2akar2 cm

    CD/sin B = BC/sin D
    2akar2/ sin 45 = BC/sin 90
    BC = 2akar2 / sin 45
    BC = 4 cm
  • Tan 30° = CD/AD
    √3/3 = CD/(2√6)
    3CD = 2√18
    3CD = 2 . 3√2
    CD = 2√2

    Sin 45° = CD/BC
    √2/2 = (2√2)/BC
    √2 BC = 4√2
    BC = 4 cm