Answer:
BC = 6
Step-by-step explanation:
If a line is parallel to a side of a triangle and it intersects the other two sides, it divides those sides proportionally.
BE is parallel to CD and intersects AC and AD , then
[tex]\frac{BC}{AB}[/tex] = [tex]\frac{DE}{AE}[/tex] ( substitute values )
[tex]\frac{BC}{12}[/tex] = [tex]\frac{8}{16}[/tex] ( cross multiply )
16 BC = 12 × 8 = 96 ( divide both sides by 16 )
BC = 6
