Question

Using the information in the given figures, match the value of x in each case.

• A. 3.2 cm
• B. 18 cm
• C. 12 cm

Answer 1

Given DE || BC
$\therefore$ From BPT,
$\frac{AD}{DB}=\frac{AE}{EC}$
$\Rightarrow \frac{10}{4}=\frac{8}{x}$
$\Rightarrow x=\frac{8\times 4}{10}$
$\Rightarrow x=3.2cm$Given DE || BC
$\therefore$ From BPT,
$\frac{AD}{DB}=\frac{AE}{EC}$
$\Rightarrow \frac{12}{4}=\frac{x}{6}$
$\Rightarrow x=\frac{12\times 6}{4}$
$\Rightarrow x=18cm$
Given DE || BC
$\therefore$ From BPT,
$\frac{AD}{DB}=\frac{AE}{EC}$
$\Rightarrow \frac{4}{8}=\frac{6}{x}$
$\Rightarrow x=\frac{6\times 8}{4}$
​​​​​​​$\Rightarrow x=12cm$