Question

In triangle ABC, if DE is parallel to BC, then which of the following is stated by Basic Proportionality Theorem?

• A. $\frac{AD}{DB}=\frac{AE}{EC}$
• B. $\frac{AB}{DB}=\frac{AE}{EC}$
• C. $\frac{AD}{DB}=\frac{AC}{EC}$
• D. $\frac{AB}{DB}=\frac{EC}{AC}$

Answer 1

The correct option is A

$\frac{AD}{DB}=\frac{AE}{EC}$

According to basic proportionality theorem,
If DE is parallel to BC, the ratio in which point D divides AB is the same as the ratio in which point E divides AC.

$\therefore \frac{AD}{DB}=\frac{AE}{EC}$