Question

In triangle ABC, if D and E are midpoints of AB and BC respectively, then D and E divide AB and BC in the ratio of _____, _____ respectively.

• A. 1 : 2, 1 : 1
• B. 1 : 1, 1 : 1
• C. 1 : 3, 3 : 1
• D. 2 : 1, 1 : 1

Answer 1

The correct option is B 1 : 1, 1 : 1

$\text{Given, D is a midpoint of AB.}$

$\Rightarrow AD=DB$
$\Rightarrow \frac{AD}{DB}=1$

$\Rightarrow \text{D divides AB in the ratio 1:1.}$

$\text{Similarly, E also divides BC in the}\text{ratio of 1:1.}$