A. 9cm, b. 9,6cm, c. 10cm, d. 10,8cm, tolong plis lagi butuh, Soal di atas

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A. 9cm


b. 9,6cm
c. 10cm
d. 10,8cm

tolong plis lagi butuh

Soal di atas​

3c57b6ad8b4ce69c726353cd7ee20b30

Jawaban:

D. 10,8 cm

Penjelasan dengan langkah-langkah:

 \frac{AB}{18 + AB} =  \frac{AE}{ AG }   \\  \frac{AB}{18 + AB} =  \frac{( \frac{5}{4} \times  \frac{3}{2})FG  }{( \frac{5}{4} \times  \frac{3}{2} )FG +  \frac{3}{2} FG  + FG}   \\  \frac{AB}{18 +AB}  =  \frac{ \frac{15}{8}FG}{ \frac{35}{8} FG} \\  \frac{AB}{18 +AB}  =  \frac{3}{7}  \\ 7AB = 54 + 3AB \\ 4AB = 54 \\ AB = 13.5 \: cm \\  \\  \\  \frac{AB}{AB+ BC }  =  \frac{AE}{ AE + EF}  \\  \frac{13.5}{13.5 +  BC } =  \frac{ \frac{15}{8} FG}{ \frac{15}{8}FG +  \frac{3}{2} FG} \\  \frac{13.5}{13.5 + BC } =   \frac{ \frac{15}{8} FG}{ \frac{27}{8} FG} \\  \frac{13.5}{13.5 + BC} =  \frac{5}{9}   \\ 121.5 = 67.5 + 5BC \\ 54 = 5BC \\ 10.8 = BC

Jadi, panjang BC adalah 10,8 cm


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