Question

In AABC, point D is the centroid, and AD= 12. Find AG

Answer 1

Answer:

AG = 18

Step-by-step explanation:

The relationship of the segments created is one is 1/3 (shorter) and the other (longer) is 2/3 of the total length.

Lets make x represent AG.

So, 2/3 of x is 12

or

$\frac{2}{3}$x = 12

Multiply both sides by the reciprocal of $\frac{2}{3}$ , which is $\frac{3}{2}$.

( $\frac{3}{2}$) $\frac{2}{3}$x = 12 ($\frac{3}{2}$)  (x is left alone, the fractions = 1 when multiplied)

x = 12 ($\frac{3}{2}$)         ( 12 times 3 = 36, divided by 2 = 18)    

x = 18