Question

In triangle ABC shown below, point G is the intersection of all the medians. If the length of AP is 18 cm, then the length of AG and GP respectively are:

• A. 10,5 cm
• B. 9,6 cm
• C. 12,6 cm
• D. 5,10 cm

Answer 1

The correct option is C

12,6 cm

The point of intersection of all the medians of a triangle is the centroid and centroid of a triangle always divides each median in the ratio 2:1.
So, AG : GP =2 : 1
Now, AP =18 cm
$AG=\frac{2}{3}\times 18=12cm$
$GP=\frac{1}{3}\times 18=6cm$