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If q is the centroid of JKL, LN=72,JP=93, and MK=78, find each missing measure

Sagot :

*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

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