Diketahui:
Segitiga 1 : Segitiga 2 : Segitiga 3
= 20 cm : (20 cm + 15 cm) : (20 cm + 15 cm + 12 cm)
= 20 cm : 35 cm : 47 cm
Ditanyakan:
a, b, c, d
Jawab:
Nilai a:
20/35 = a/(a+30)
4/7 = a/(a+30)
4(a+30) = 7a
4a + 120 = 7a
120 = 3a
40 = a
Nilai b:
20/47 = a/(a+30+b)
20/47 = 40/(40+30+b)
20/47 = 40/(70+b)
20(70+b) = 40. 47
70 + b = 2. 47
70 + b = 94
b = 24
Nilai c:
20/35 = c/60
4/7 = c/60
(4/7). 60 = c
240/7 = c
34 2/7 = c
34,2857143 = c
34,3 = c
Nilai d:
35/47 = 60/d
d = 60. (47/35)
d = 12. (47/7)
d = 564/7
d = 80 4/7
d = 80,5714..
d = 80,6
_________________________________________
DETAIL JAWABAN
Mapel: Matematika
Kelas: 9
Materi: Bab 4 - Kesebangunan dan Kekongruenan
Kata kunci: Segitiga, Sebangun
Kode Soal: 2
Kode kategorisasi: 9.2.4
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Diketahui:
Segitiga 1 : Segitiga 2 : Segitiga 3
= 20 cm : (20 cm + 15 cm) : (20 cm + 15 cm + 12 cm)
= 20 cm : 35 cm : 47 cm
Ditanyakan:
a, b, c, d
Jawab:
Nilai a:
20/35 = a/(a+30)
4/7 = a/(a+30)
4(a+30) = 7a
4a + 120 = 7a
120 = 3a
40 = a
Nilai b:
20/47 = a/(a+30+b)
20/47 = 40/(40+30+b)
20/47 = 40/(70+b)
20(70+b) = 40. 47
70 + b = 2. 47
70 + b = 94
b = 24
Nilai c:
20/35 = c/60
4/7 = c/60
(4/7). 60 = c
240/7 = c
34 2/7 = c
34,2857143 = c
34,3 = c
Nilai d:
35/47 = 60/d
d = 60. (47/35)
d = 12. (47/7)
d = 564/7
d = 80 4/7
d = 80,5714..
d = 80,6
_________________________________________
DETAIL JAWABAN
Mapel: Matematika
Kelas: 9
Materi: Bab 4 - Kesebangunan dan Kekongruenan
Kata kunci: Segitiga, Sebangun
Kode Soal: 2
Kode kategorisasi: 9.2.4