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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

Mid-Chapter Quiz

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Exercise 8 Page 434

The centroid is the point of concurrency of the medians of a triangle. Therefore, WT is a median and it bisects SR.

28

The centroid is the point of concurrency of the medians of a triangle. In the given diagram, Z is the centroid.

As we can see, the segment SR consists of two segments: SW and WR. By the Segment Addition Postulate, its length equals the sum of these segment lengths. SR=SW+ WR Since Z is the centroid, we know WT is a median. Therefore, W is the midpoint of SR. From here, we can conclude that SW and WR have the same length. Finally, we can substitute SW with 14 and WR with 14 in the equation to calculate SR. SR&=14+ 14 &=28