1. In triangle ∆PQR, C is the centroid.

a. If CY = 10, find PC and PY

b. If QC = 10, find ZC and ZQ

If PX = 20, find PQ

Question

Mathematics

Michaela

21 March, 16:52

1. In triangle ∆PQR, C is the centroid.

a. If CY = 10, find PC and PY

b. If QC = 10, find ZC and ZQ

If PX = 20, find PQ

+2

Answers (1)

Know the Answer?

Timothy Duran · Answer 1

Since C is the centroid, therefore:

Segments PZ = ZR; RY = YQ; QX = XP

A.

If CY = 10, then

PC = 2*CY = 20

PY = PC + CY = 20 + 10 = 30

Answer: PC = 20 PY = 30

B.

If QC = 10, then

ZC = QC/2 = 5

ZQ = ZC + QC = 5 + 10 = 15

Answer: ZC = 5 ZQ = 15

C.

If PX = 20

Because the median RX bisects side PQ, therefore PX = QX = 20

PQ = PX + QX = 40

Answer: PQ = 40

1. In triangle ∆PQR, C is the centroid.a. If CY = 10, find PC and PYb. If QC = 10, find ZC and ZQIf PX = 20, find PQ

1. In triangle ∆PQR, C is the centroid.

a. If CY = 10, find PC and PY

b. If QC = 10, find ZC and ZQ

If PX = 20, find PQ