Question

Given triangle ABC is similar to triangle DEF , calculate the value of BC. Picture is below

Answer 1

Hello! :)

Answer:

`\huge\boxed{BC = 6.4 }`

Given ΔABC ~ ΔDEF, we can set up a proportion to solve for BC, where:

`(AC)/(DF) = (BC)/(EF)`

Let BC = x:

`(8)/(15) = (x)/(12)`

Cross multiply:

`8 * 12 = 15 * x`

`96 = 15x`

`x = 6.4`

Therefore, BC = 6.4 units.

Hope this helped you!