x/AC = AD/AB
x/(x + EC) = 6/(6 + 4)
x/(x + 2) = 6/10
x/(x + 2) = 3/5
5x = 3(x + 2)
5x = 3x + 6
5x - 3x = 6
2x = 6
x = 6/2
x = 3 cm
y/BC = AD/AB
y/10 = 6/(6 + 4)
y/10 = 6/10
y = 6/10 × 10
y = 6 cm
Mapel: Matematika
Kelas: VII
Materi: Bab 5 - Perbandingan Skala
Kode Kategorisasi: 7.2.5
Penjelasan dengan langkah-langkah:
Penyelesian
AE : EC = AD : DB
X : 2 = 6 : 4
X × 4 = 2 × 4
4X = 12
AB/BC = AD/DE
10/10 = 6/DE
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Diketahui
Ditanya
Penyelesaian
x/AC = AD/AB
x/(x + EC) = 6/(6 + 4)
x/(x + 2) = 6/10
x/(x + 2) = 3/5
5x = 3(x + 2)
5x = 3x + 6
5x - 3x = 6
2x = 6
x = 6/2
x = 3 cm
y/BC = AD/AB
y/10 = 6/(6 + 4)
y/10 = 6/10
y = 6/10 × 10
y = 6 cm
______________
DETAIL JAWABAN
Mapel: Matematika
Kelas: VII
Materi: Bab 5 - Perbandingan Skala
Kode Kategorisasi: 7.2.5
Penjelasan dengan langkah-langkah:
GARIS dan SUDUT
Penyelesian
AE : EC = AD : DB
X : 2 = 6 : 4
X × 4 = 2 × 4
4X = 12
X = 3 cm
AB/BC = AD/DE
10/10 = 6/DE
DE = 6 cm