*diagram is in the attachment below
Answer:
Step-by-step explanation:
Given:
LN = 72
JP = 93
MK = 78
Required:
LQ, QN, QP, JQ MQ, and KQ.
Solution:
Apply the centroid theorem to find each missing measure.
✔️LQ = ⅔(LN)
LQ = ⅔(72)
LQ = 48
✔️QN = ⅓(LN)
QN = ⅓(72)
QN = 24
✔️QP = ⅓(JP)
QP = ⅓(93)
QP = 31
✔️JQ = ⅔(JP)
JQ = ⅔(93)
JQ = 62
✔️MQ = ⅓(MK)
MQ = ⅓(78)
MQ = 26
✔️KQ = ⅔(MK)
KQ = ⅔(78)
KQ = 52
