Triangles ABD and XYZ are similar.Find the length of segment BC.

Answer:
BC = 6
Step-by-step explanation:
Look at two corresponding sides that have both lengths given.
They are AB = 4 and XY = 3.
We need BC, and its corresponding side YZ = 4.5.
We can use a proportion.
BC/YZ = AB/XY
a/4.5 = 4/3
3a = 4.5 * 4
a = 1.5 * 4
a = 6
Answer: BC = 6