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nexus9112 [7]
3 years ago
11

In triangle ∆PQR, C is the centroid.

Mathematics
1 answer:
DerKrebs [107]3 years ago
5 0

Because C is the centroid, therefore:

Segments PZ = ZR;  RY = YQ; QX = XP<span>

<span>A.
If CY = 10, then</span></span>

PC = 2*CY = 20<span>
PY = PC + CY = 20 + 10 = 30
Answer:      PC = 20</span>      PY = 30

B.
If QC = 10, then

ZC = QC/2 = 5<span>
ZQ = ZC + QC = 5 + 10 = 15
Answer:      ZC = 5</span>        ZQ = 15

<span>C.
<span>If PX = 20
Because the median RX bisects side PQ, therefore PX = QX = 20
PQ = PX + QX = 40
Answer:      <span>PQ = 40</span></span></span>

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