McGraw Hill Integrated II, 2012
MH
McGraw Hill Integrated II, 2012 View details
Preparing for Standardized Tests
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Exercise 1 Page 469

How does the centroid divide the median?

D

Practice makes perfect
We are given the length of part of a median from a vertex to the centroid. We are asked to find the full length of the same median.
According to the Centroid Theorem, the distance of the centroid from a vertex is two thirds of the length of the median. Using this connection we can find QT.
QP=2/3QT
14=2/3QT
Solve for QT
42=2QT
21=QT
QT=21
The length of QT is 21 centimeters, so the correct answer choice is D.