In STR, H is the centroid, EH = 5, DH = 3.5, and SM = 12. Find DT.
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SM - DH = DT .
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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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