Point Q is the centroid of △ABC. QF = _____
A. 10
B. 5
C. 15
D. 9
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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.