gekiyasmith321
gekiyasmith321 gekiyasmith321
  • 14-11-2019
  • Mathematics
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In STR, H is the centroid, EH = 6,DH = 4, and SM = 24.
Find each measure.
7.SH
8.HM
9.TH
10.HR
11.TD
12.ER​

In STR H is the centroid EH 6DH 4 and SM 24Find each measure7SH8HM9TH10HR11TD12ER class=

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sqdancefan
sqdancefan sqdancefan
  • 14-11-2019

Answer:

  7. 16

  8. 8

  9. 8

  10. 12

  11. 12

  12. 18

Step-by-step explanation:

The centroid cuts each median into parts in the ratio 2:1. This fact can be used to find the desired lengths.

7. SH = 2/3×SM = 2/3×24 = 16

8. HM = 1/3×SM = 1/3×24 = 8

9. TH = 2×DH = 2×4 = 8

10. HR = 2×EH = 2×6 = 12

11. TD = TH +DH = 8 +4 = 12

12. ER = EH +HR = 6 +12 = 18

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