Answer:
BC = 9 miles
Step-by-step explanation:
Here, we are given ΔABC ∼ ΔEDC, which means both triangles are similar and they tend to have the same dimensions and properties.
To find the length of BC, we are given the proportion:
[tex] \frac{12}{8} = \frac{x}{6}[/tex]
Where x represents the length BC.
Solving further, let's cross multiply
[tex] 12 * 6 = 8x[/tex]
[tex] 72 = 8x[/tex]
Solving for x, we have:
[tex] 8x = 72 [/tex]
Lets divide both sides by 8
[tex] \frac{8x}{8} = \frac{72}{8} [/tex]
[tex] x = 9 [/tex]
Therefore the distance BC is 9 miles
