Question

Point P is the centroid of LMN. Find PN

Answer 1

Answer:

PN = 14

QP = 7

Step-by-step explanation:

Extend PQ to R so that QR=PQ

MQ = QL  (known, mid-point)

MPLR is parallelogram (diagonal bisect each other)

MP // RL          NP/PR = NE/EL = 1/1 (E mid-point, known)

NP = PR

PQ = QR = 1/2 PR = 1/2 NP

NP = 2 PQ

NP + PQ = 2PQ + PQ = 3 PQ = QN = 21

PQ = 7

PN = 14