Question

If $\Delta ABCand\Delta DEF$ are similar such that AB = 2DE and BC = 6 cm, then Find EF.

• A. 2 cm
• B. 18 cm
• C. 8 cm
• D. 9 cm

Answer 1

The correct option is A 2 cm

Given
AB = 3DE
If two traingles are similar then their corresponding sides are proportional and corresponding sides are equal.
$\frac{EF}{BC}=\frac{DE}{AB}\Rightarrow \frac{EF}{6}=\frac{DE}{3DE}=\frac{1}{3}\Rightarrow EF=\frac{6}{3}\Rightarrow EF=2cm$