Matematika

Pertanyaan

cari rumus luas segitiga menggunakan trigonometri. lalu hitung luas segitiga dibawah ini.
1. A = 60° b = 10 cm c = 8cm
2. a = 7cm b = 8cm. c = 9cm

1 Jawaban

  • 1) L = 1/2 × b × c × sin a
    = 1/2 × 10 × 8 × sin 60°
    = 1/2 × 10 × 8 × 1/2 akar 3
    = (20 akar 3) cm^2
    2) S = 1/2 × ( a + b + c )
    = 1/2 × ( 7 + 8 + 9 )
    = 1/2 × 24
    = 12 cm
    L = akar [S×(S-a)(S-b)(S-c)]
    = akar [12×(12-7)(12-8)(12-9)]
    = akar [12×5×4×3]
    = akar 720
    = akar (144×5)
    = (12 akar 5) cm^2

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