Matematika

Pertanyaan

segitiga ABC
diket b=30cm, sinA=3/5, sinC=4/5
hitung
a. panjang a
b. panjang c

1 Jawaban

  • Diket :
    b = 30 cm
    Sin A = 3/5 = 37°
    Sin C = 4/5 = 53°
    Sin B = 1 = 90°

    Panjang a :
    b/Sin B = a/Sin A
    30/Sin 90 = a/Sin37
    30/1 = a/ 3/5
    30 = 5a/3
    90 = 5a
    90/5 = a
    18 = a

    Panjang c
    b/Sin B = c/SinC
    30/Sin 90 = c/Sin53
    30/1 = c/ 4/5
    30 = 5c/4
    120 = 5c
    24 = c

    Jadi Panjang sisi a = 18 dan Sisi c = 24

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