Question

AD&BE are medians of triangle ABC intersect at F ifFD=5cm then find AD

Answer 1

The length of AD is 15 cm.

• In ΔABC,

AD and BE are the medians of the triangle ABC

Both the medians intersect each other at F.

• The intersection of both the medians is known as centroid.

The length of FD is given as 5 cm.

• The centroid of a triangle divides the median into parts of ratio 2:1.

$\frac{AF}{FD}$ = $\frac{2}{1}$

$\frac{AF}{5}$ = $\frac{2}{1}$

AF = 10 cm

• Now, AD = AF + FD

AD = 10 + 5 = 15 cm

• Length of AD is 15 cm.