Question

In triangle RST, point Q is the centroid and SQ= 8. find QW and SW. Hope you can help me this question! Image is attached below.

Answer 1

QW = 4

SW = 12

Step-by-step explanation:

The distance from a vertex to the centroid is 2/3 the distance of the complete segment. So

SQ = (2/3)SW

Since SQ = 8, we can solve the equation for SW as follows:

`\begin{gathered} 8=(2)/(3)SW \\ 3*8=3*(2)/(3)SW \\ 24=2SW \\ (24)/(2)=(2SW)/(2) \\ 12=\text{ SW} \end{gathered}`

Then, QW can be calculated as

QW = SW - SQ

QW = 12 - 8

QW = 4

Therefore, the answers are:

QW = 4

SW = 12