Question

In triangle ABC, the medians BE and CF intersect at G. AD is a line meeting BC at D. If GD is 1.5 cm, then the value of AD is .

• A. 3.5 cm
• B. 4 cm
• C. 4.5 cm

Answer 1

The correct option is C 4.5 cm

In a triangle, all the medians intersect at a single point and that point divides each in the ratio 2 : 1.

$\text{Hence,}AG:GD=2:1$
Here, GD = 1.5 cm. So, AG will be 3 cm.
$\Rightarrow GD:AD=1:3\Rightarrow AD:GD=3:1$

$\text{So,}\frac{AD}{GD}=\frac{3}{1}$

$\Rightarrow \frac{AD}{1.5}$ = 3

$\Rightarrow AD=4.5cm.$