Question

$△ABC$ and $△DEF$ are similar such that $2AB=DE$ and $BC=8cm$. Find $EF$.

• A. $16cm$
• B. $12cm$
• C. $8cm$
• D. $4cm$

Answer 1

The correct option is A $16cm$

Given that $△ABC\sim △DEF$. If two traingles are similar then their corresponding sides are proportional.
$\frac{EF}{BC}=\frac{DE}{AB}$
$\frac{EF}{8}=\frac{2AB}{AB}=2$
$EF=2\times 8cm$
$EF=16cm$