Matematika

Pertanyaan

Materi TRIGONOMETRI
Tingkat SMA Kelas X
Materi TRIGONOMETRI Tingkat SMA Kelas X

1 Jawaban

  • BC/sin A = AC/sin B
    a / sin 30˚ = b / sin 60˚
    a/(1/2) = b / (1/2 √3)
    2a = 2b /√3
    a√3 = b

    catatan :
    a+b = 10
    a = 10 - b
    a = 10 - a√3
    a + a√3 = 10
    a( 1 + √3) = 10
    a = 10/(1 + √3)
    a = (10 - 10√3)/-2
    a = 5√3 - 5

    a/ sin 30˚ = AB / sin C
    a/ (1/2) = AB / sin 90˚
    2a = AB
    AB = 2 ( 5√3 - 5)
    AB = (10√3 - 10) cm .........C