Point Q is the centroid of △ABC. QF = _____
A. 10
B. 5
C. 15
D. 9
![Point Q is the centroid of ABC QF A 10 B 5 C 15 D 9 class=](https://us-static.z-dn.net/files/d9b/c7c91088eef1eb589e5fec809de2cd57.png)
Answer: QF = 5
Step-by-step explanation:
We know that if a triangle has a centroid, the ratio of the longer segment to shorter segment is 2:1. We can set up a proportion [tex]\frac{2}{1} = \frac{10}{x}[/tex], where x is the length of QF. By cross multiplying and dividing, you get x = 5 or QF = 5.