Question

Z is the centroid of Triangle ABC . If AZ =12 what is ZY

Answer 1

If Z is the centroid of ABC , AZ = 2/3 AY and ZY = 1/3 AY
which means that: ZY = 1/2 AZ = 1/2 x 12 = 6 
Answer: A ) 6

Answer 2

Answer:

The Length of ZY = 6

Step-by-step explanation:

Given : Z is the centroid of Triangle ABC .

           AZ =12

To Find : Length of ZY

Solution :

Definition : The line segment between the midpoint of the opposite side and  a vertex of the triangle is the median of a triangle and each median divides the triangle into two triangles having equal area and the centroid of the triangle is the intersection of the three medians.

The centroid divides each median into two parts in the ratio 2:1.

So, $\frac{AZ}{ZY} = \frac{2}{1}$

$\frac{12}{ZY} = \frac{2}{1}$

$\frac{12}{2} = ZY$

$6 = ZY$

Thus, The Length of ZY = 6