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If T is the centroid of triangle MNP, TN = 16, MQ = 23, and RP = 18, find each measure.

If T Is The Centroid Of Triangle MNP TN 16 MQ 23 And RP 18 Find Each Measure class=

Sagot :

Answer:

QT = 8

QN = 24

QP = 23

MP = 46

RT = 6

TP = 12

Explanation:

Given that T is the centroid

QT : TN = 1:2

TN = 16, so

QT/16 = 1/2

QT = 16/2 = 8

QN = QT + TN

= 8 + 16

= 24

QP = MQ

QP = 23

MP = MQ + QP

= 23 + 23

= 46

RT + TP = RP

RT + TP = 18

2RT = TP

RT + 2RT = 18

3RT = 18

RT = 18/3 = 6

TP = 2*6 = 12

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