Pada gambar ini trapesium ABCD~trapesium PQRS
Hitung nilai x + y + z dengan caranya!
Hitung nilai x + y + z dengan caranya!
Trapesium ABCD
AB = 9 cm, BC = x, CD = z, AD = 12 cm
Trapesium PQRS
PQ = y cm, QR = 20 cm, SR = 24 cm, PS = 16 cm
Kesebangunan
AD = PS, CD = SR, BC = QR, dan AB = PQ
Mencari x
[tex] \frac{ad}{ps} = \frac{bc}{qr} \\ \frac{12}{16} = \frac{x}{20} [/tex]
12.20 = 16x
240 = 16x
x = 15 cm
Mencari y
[tex] \frac{ab}{pq} = \frac{ad}{ps} \\ \frac{9}{y} = \frac{12}{16} [/tex]
9.16 = 12y
144 = 12y
y = 12 cm
Mencari z
[tex] \frac{ad}{ps} = \frac{cd}{sr} \\ \frac{12}{16} = \frac{z}{24} [/tex]
12.24 = 16z
288 = 16z
z = 18 cm
x + y + z = 15 cm + 12 cm + 18 cm = 45 cm
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