Matematika

Pertanyaan

Diketahui segitiga ABC sudut A=60° sudut B=75° panjang BC=6cm maka, panjang AB=.......cm

1 Jawaban

  • <C = 180 - <A - <B
    <C = 180 - 60 - 75
    <C = 45
    AB/sin C = BC/sin A
    AB/sin 45 = 6/sin 60
    AB/(√2/2) = 6/(√3/2)
    AB = 6 × √2/2 × 2/√3
    AB = 6√2/√3
    AB = 6√2/√3 × √3/√3
    AB = 6√6/3
    AB = 2√6

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