Question

In figure , if $DE\parallel BC$, then the value of x is equal to

• A. 3 cm
• B. 4 cm
• C. 7 cm
• D. 4.7 cm

Answer 1

The correct option is D 4.7 cm

In $△ADE$ and $△ABC$

$\angle ADE=\angle ABC$ (As $DE\parallel BC$) Corresponding angles

$\angle AED=\angle ACB$ (As $DE\parallel BC$) Corresponding angles

$\angle DAE=\angle BAC$ (common angle)

$\therefore △ADE\sim △ABC$ by AAA

$\Rightarrow \frac{3}{7}=\frac{2}{x}\Rightarrow x=4.7cm$