Jika panjang EG = 15 cm, tentukan panjang AE
Matematika
lala1192
Pertanyaan
Jika panjang EG = 15 cm, tentukan panjang AE
1 Jawaban
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1. Jawaban AstrajinggaBadranaya
DF = FC
DC = DF + FC
DC = DF + DF
DC = 2DF
DC : DF = 2 : 1
maka
DC : FC = 2 : 1
GC / FC = EC / DC
GC / 1 = (EG + GC) / 2
GC = (15 + GC) / 2
2GC = 15 + GC
2GC - GC = 15
GC = 15 cm
EC = EG + GC
= 15 cm + 15 cm
= 30 cm
AC / AB = EC / ED
(AE + EC) / 30 = EC / 24
(AE + 30) / 30 = 30 / 24
(AE + 30) / 30 = 5/4
AE + 30 = 5/4 x 30
AE + 30 = 37,5
AE = 37,5 - 30
AE = 7,5 cm