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babunello [35]
2 years ago
5

HELP ASAP!!! In triangle OPQ, U is the centroid. If QU = 8, find QR

Mathematics
1 answer:
scZoUnD [109]2 years ago
7 0

Applying the centroid theorem, the length of QR is: 12.

<h3>What is the Centroid Theorem?</h3>
  • According to the centroid theorem, the centroid (the point where the three medians intersect) is 2/3 of the distance from the midpoint of the a side to each vertex opposite vertex of the triangle.

Given:

QU = 8

QU = 2/3(QR)

  • Substitute

8 = 2/3(QR)

3(8) = 2(QR)

24 = 2(QR)

QR = 12

Therefore, applying the centroid theorem, the length of QR is: 12.

Learn more about the centroid theorem on:

brainly.com/question/20627009

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