Given ΔABC is similar to ΔDEF, calculate the value of BC.

Answer:
BC = 6.4
Step-by-step explanation:
Since the triangles are similar then the ratio of corresponding sides are equal, that is
[tex]\frac{BC}{EF}[/tex] = [tex]\frac{AC}{DF}[/tex] ← substitute values
[tex]\frac{BC}{12}[/tex] = [tex]\frac{8}{15}[/tex] ( cross- multiply )
15BC = 96 ( divide both sides by 15 )
BC = 6.4