Question

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

Answer 1

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 $\frac{2}{1} = \frac{10}{x}$, where x is the length of QF. By cross multiplying and dividing, you get x = 5 or QF = 5.