Soal Ini gmn? Bantu kak
Matematika
Naufal1221
Pertanyaan
Soal Ini gmn? Bantu kak
1 Jawaban
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1. Jawaban nurrafi77
jumlah sudut segitiga = 180°
∠A + ∠B + ∠C = 180°
45° + ∠B + 75° = 180°
120° + ∠B = 180°
∠B = 180° - 120°
= 60°
Aturan sinus
BC AC
------ = ---------
sin A sin B
BC 20
---------- = ----------
sin 45° sin 60°
sin 60° x BC = 20 x sin 45°
1/2√3 x BC = 20 x 1/2√2
1/2√3 x BC = 10√2
BC = 10√2 / 1/2 √3
= 10√2 / 1/2√3 x 1/2√3 / 1/2√3 ( merasionalkan )
= 5√6 / ( 3/4 )
= 5√6 x 4/3
= 20/3 √6 cm
Luas Δ = 1/2 x BC x AC sin C
= 1/2 x 20/3 √6 x 20 ( sin 75° )
= 20/6 √6 x 20 ( 0,97 )
= 20/6 √6 x 19,4
= 65 √6 cm²