Similar triangles

The triangles ABC and XYZ are similar. Find the missing lengths of the sides of the triangles.

a) a = 5 cm b = 8 cm
x = 7.5 cm z = 9 cm

b) a = 9 cm c = 12 cm
y = 10 cm z = 8 cm

c) b = 4 cm c = 8 cm
x = 4.5 cm z = 6 cm

Correct answer:

c1 =  6 cm
y1 =  12 cm
b2 =  15 cm
x2 =  6 cm
a3 =  6 cm
y3 =  3 cm

Step-by-step explanation:

a1=5 cm b1=8 cm x1=7.5 cm z1=9 cm  k1=x1/a1=7.5/5=23=1.5 k1 = z1/c1  c1=z1/k1=9/1.5=6 cm
k1 = y1/b1 y1=k1 b1=1.5 8=12 cm
 a2=9 cm c2=12 cm y2=10 cm z2=8 cm  k2=z2/c2=8/12=320.6667 k2 = y2/b2  b2=y2/k2=10/0.6667=15 cm
k2 = x2/a2 x2=k2 a2=0.6667 9=6 cm
 b3=4 cm c3=8 cm x3=4.5 cm z3=6 cm  k3=z3/c3=6/8=43=0.75 k3 = x3/a3  a3=x3/k3=4.5/0.75=6 cm
k3 = y3/b3 y3=k3 b3=0.75 4=3 cm

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